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Recent questions and answers in Probability
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Probability
Match the following :
cbse
math
class11
ch16
probability
exemplar
q43
sec-a
easy
answered
Jul 9, 2014
by
sreemathi.v
1
answer
Match the proposed probability under Column $C_1$ with the appropriate written description under column $C_2$ :
cbse
math
class11
ch16
probability
exemplar
q42
sec-a
easy
answered
Jul 9, 2014
by
sreemathi.v
1
answer
The probability of happening of an event A is 0.5 and that of B is 0.3. If A and B are mutually exclusive events, then the probability of neither A nor B is ________.
cbse
math
class11
ch16
probability
exemplar
q41
sec-a
easy
answered
Jul 9, 2014
by
sreemathi.v
1
answer
If A and B are two events associated with a random experiment such that $P(A)=0.3,P(B)=0.2$ and $P(A \cap B)=0.1$ then the value of $P(A \cap \bar{B})$ is _________
cbse
math
class11
ch16
probability
exemplar
q40
sec-a
easy
answered
Jul 9, 2014
by
sreemathi.v
1
answer
Let S={1,2,3,4,5,6} and E={1,3,5},then $\bar{E}$ is_________.
cbse
math
class11
ch16
probability
exemplar
q39
sec-a
easy
answered
Jul 9, 2014
by
sreemathi.v
1
answer
If $e_1,e_2,e_3,e_4$ are the four elementary outcomes in a sample space and $P(e_1) = .1, P(e_2) = .5, P (e_3) = .1$, then the probability of $e_4$ is ______.
cbse
math
class11
ch16
probability
exemplar
q38
sec-a
easy
answered
Jul 9, 2014
by
sreemathi.v
1
answer
The probability that the home team will win an upcoming football game is 0.77, the probability that it will tie the game is 0.08, and the probability that it will lose the game is _____________
cbse
math
class11
ch16
probability
exemplar
q37
sec-a
easy
answered
Jul 9, 2014
by
sreemathi.v
1
answer
True-or-False : The sum of probabilities of two students getting distinction in their final examinations is 1.2
cbse
math
class11
ch16
probability
exemplar
q36
sec-a
easy
answered
Jul 9, 2014
by
sreemathi.v
1
answer
True-or-False : The probability of an occurrence of event A is 0.7 and that of the occurrence of event B is 0.3 and the probability of occurrence of both is 0.4.
cbse
math
class11
ch16
probability
exemplar
q35
sec-a
easy
answered
Jul 9, 2014
by
sreemathi.v
1
answer
True-or-False : The probability of intersections of two events A and B is always less than or equal to those favorable to the event A.
cbse
math
class11
ch16
probability
bookproblem
exemplar
q34
sec-a
easy
answered
Jul 9, 2014
by
sreemathi.v
1
answer
True-or-False : If A and B are two candidates seeking admission in an engineering college.The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3.Is it possible that the probability of B getting selected is 0.7?
cbse
math
class11
ch16
probability
exemplar
q33
sec-b
medium
answered
Jul 9, 2014
by
sreemathi.v
1
answer
True-or-False : The probabilities that a typist will make 0,1,2,3,4,5 or more mistakes in typing a report are,respectively,0.12,0.25,0.36,0.14,0.08,0.11
cbse
math
class11
ch16
probability
exemplar
q32
sec-a
easy
answered
Jul 9, 2014
by
sreemathi.v
1
answer
True-or-False : The probability that a student will pass his examination is 0.73,the probability of the student getting a compartment is 0.13,and the probability that the student will either pass or get compartment is 0.96.
cbse
math
class11
ch16
probability
exemplar
q31
sec-a
easy
answered
Jul 9, 2014
by
sreemathi.v
1
answer
True-or-False : The probability that a person visiting a zoo will see the giraffee is 0.72,the probability that he will see the bears is 0.84 and the probability that he will see both is 0.52.
cbse
math
class11
ch16
probability
exemplar
q30
sec-a
easy
answered
Jul 9, 2014
by
sreemathi.v
1
answer
If M and N are any two events,the probability that at least one of them occurs is
cbse
math
class11
ch16
probability
exemplar
q29
sec-a
easy
answered
Jul 9, 2014
by
sreemathi.v
1
answer
The probability that at least one of the events A and B occurs is 0.6.If A and B occur simultaneously with probability 0.2.Then $P(\bar{A})+P(\bar{B})$ is
cbse
math
class11
ch16
probability
exemplar
q28
sec-b
medium
answered
Jul 9, 2014
by
sreemathi.v
1
answer
If the probabilities for A to fail in an examination is 0.2 and that for B is 0.3.Then the probability that either A or B fails is
cbse
math
class11
ch16
probability
exemplar
q27
sec-a
easy
answered
Jul 9, 2014
by
sreemathi.v
1
answer
A single letter is selected at random from the word PROBABILITY .The probability that it is a vowel is
cbse
math
class11
ch16
probability
exemplar
q26
sec-a
easy
answered
Jul 9, 2014
by
sreemathi.v
1
answer
6 boys and 6 girls sit in a row at random.The probability that all the girls sit together is
cbse
math
class11
ch16
probability
exemplar
q25
sec-b
medium
answered
Jul 9, 2014
by
sreemathi.v
1
answer
If $A\cup B)=P(A \cap B)$ for any two events A and B,then
cbse
math
class11
ch16
probability
exemplar
q24
sec-b
medium
answered
Jul 9, 2014
by
sreemathi.v
1
answer
If A and B are mutually exclusive events,then
cbse
math
class11
ch16
probability
exemplar
q23
sec-a
easy
answered
Jul 9, 2014
by
sreemathi.v
1
answer
Without repetition of the numbers,four digit numbers are formed with the numbers 0,2,3,5.The probability of such a number divisible by 5 is
cbse
math
class11
ch16
probability
exemplar
q22
sec-b
medium
answered
Jul 9, 2014
by
sreemathi.v
1
answer
Seven persons are to be seated in a row.The probability that two particular persons sit next to each other is
cbse
math
class11
ch16
probability
exemplar
q21
sec-b
medium
answered
Jul 9, 2014
by
sreemathi.v
1
answer
While shuffling a pack of 52 playing cards,2 are accidently dropped.Find the probability that the missing cards to be of different colours.
cbse
math
class11
ch16
probability
exemplar
q20
sec-b
medium
answered
Jul 9, 2014
by
sreemathi.v
1
answer
Three numbers are chosen from 1 to 20.Find the probability that they are not consecutive.
cbse
math
class11
ch16
probability
exemplar
q19
sec-b
medium
answered
Jul 8, 2014
by
sreemathi.v
1
answer
In a non-leap year,the probability of having 53 tuesdays or 53 wednesdays is
cbse
math
class11
ch16
probability
exemplar
q18
sec-b
medium
answered
Jul 8, 2014
by
sreemathi.v
1
answer
Determine the probability P,for each of the following events.Sum of 6 appears in a single toss of a pair of fair dice.
cbse
math
class11
ch16
probability
exemplar
q17-d
sec-b
medium
answered
Jul 8, 2014
by
sreemathi.v
1
answer
Determine the probability P,for each of the following events.A king ,9 of hearts,or 3 of spades appears in drawing a single card from a well shuffled ordinary deck of 52 cards.
cbse
math
class11
ch16
probability
exemplar
q17-c
sec-b
medium
answered
Jul 8, 2014
by
sreemathi.v
1
answer
Determine the probability P,for each of the following events.Atleast one head in two tosses of a fair coin.
cbse
math
class11
ch16
probability
exemplar
q17-b
sec-b
medium
answered
Jul 8, 2014
by
sreemathi.v
1
answer
Determine the probability P,for each of the following events.An odd number appears in a single toss of a fair die.
cbse
math
class11
ch16
probability
exemplar
q17-a
sec-b
medium
answered
Jul 8, 2014
by
sreemathi.v
1
answer
A sample space consists of a elementary outcomes $e_1,e_2........e_9$ whose probabilities are $P(e_1)=P(e_2)=0.08,P(e_3)=P(e_4)=P(e_5)=.1,P(e_6)=P(e_7)=.2,P(e_8)=p(e_9)=0.07$.Suppose $A=\{e_1,e_5,e_8\},B=\{e_2,e_5,e_8,e_9\}$.Calculate $P(\bar{B})$ from P(B),also calculate $P(\bar{B})$ directly from the elementary outcomes of $\bar{B}$.
cbse
math
class11
ch16
probability
exemplar
q16-d
sec-b
medium
answered
Jul 8, 2014
by
sreemathi.v
1
answer
A sample space consists of a elementary outcomes $e_1,e_2........e_9$ whose probabilities are $P(e_1)=P(e_2)=0.08,P(e_3)=P(e_4)=P(e_5)=.1,P(e_6)=P(e_7)=.2,P(e_8)=p(e_9)=0.07$.Suppose $A=\{e_1,e_5,e_8\},B=\{e_2,e_5,e_8,e_9\}$.List the composition of the event $A\cup B$,and calculate $P(A \cup B)$ by adding the probabilities of the elementary outcomes.
cbse
math
class11
ch16
probability
exemplar
q16-c
sec-b
medium
answered
Jul 8, 2014
by
sreemathi.v
1
answer
A sample space consists of a elementary outcomes $e_1,e_2........e_9$ whose probabilities are $P(e_1)=P(e_2)=0.08,P(e_3)=P(e_4)=P(e_5)=.1,P(e_6)=P(e_7)=.2,P(e_8)=p(e_9)=0.07$.Suppose $A=\{e_1,e_5,e_8\},B=\{e_2,e_5,e_8,e_9\}$.Using the addition law of probability ,calculate $P(A \cup B)$ .
cbse
math
class11
ch16
probability
exemplar
q16-b
sec-c
difficult
answered
Jul 8, 2014
by
sreemathi.v
1
answer
A sample space consists of a elementary outcomes $e_1,e_2........e_9$ whose probabilities are $P(e_1)=P(e_2)=0.08,P(e_3)=P(e_4)=P(e_5)=.1,P(e_6)=P(e_7)=.2,P(e_8)=p(e_9)=0.07$.Suppose $A=\{e_1,e_5,e_8\},B=\{e_2,e_5,e_8,e_9\}$.Calculate P(A),P(B) and $P(A \cap B)$
cbse
math
class11
ch16
probability
exemplar
q16-a
sec-b
medium
answered
Jul 8, 2014
by
sreemathi.v
1
answer
A card is drawn from a deck of 52 cards.Find the probability of getting a king or a heart or a red card.
cbse
math
class11
ch16
probability
exemplar
q15
sec-c
difficult
answered
Jul 8, 2014
by
sreemathi.v
1
answer
If the letters of the word ASSASSINATION are arranged at random.Find the probability that no two A's are coming together
cbse
math
class11
ch16
probability
exemplar
q14-d
sec-b
medium
answered
Jul 8, 2014
by
sreemathi.v
1
answer
If the letters of the word ASSASSINATION are arranged at random.Find the probability that all A's are not coming together
cbse
math
class11
ch16
probability
exemplar
q14-c
sec-b
medium
answered
Jul 8, 2014
by
sreemathi.v
1
answer
If the letters of the word ASSASSINATION are arranged at random.Find the probability that two I's and two N's come together.
cbse
math
class11
ch16
probability
exemplar
q14-b
sec-b
medium
answered
Jul 8, 2014
by
sreemathi.v
1
answer
If the letters of the word ASSASSINATION are arranged at random.Find the probability that four S's come consecutively in the word.
cbse
math
class11
ch16
probability
exemplar
q14-a
sec-b
medium
answered
Jul 8, 2014
by
sreemathi.v
1
answer
A bag contains 8 red and 5 white balls.Three balls are drawn at random.Find the probability that one ball is red and two balls are white
cbse
math
class11
ch16
probability
exemplar
q13-c
sec-c
difficult
answered
Jul 8, 2014
by
sreemathi.v
1
answer
A bag contains 8 red and 5 white balls.Three balls are drawn at random.Find the probability that all the three balls are red
cbse
math
class11
ch16
probability
exemplar
q13-b
sec-b
medium
answered
Jul 8, 2014
by
sreemathi.v
1
answer
A bag contains 8 red and 5 white balls.Three balls are drawn at random.Find the probability that all the three balls are white
cbse
math
class11
ch16
probability
exemplar
q13-a
sec-b
medium
answered
Jul 8, 2014
by
sreemathi.v
1
answer
One urn contains two black balls (labelled $B_1,B_2$) and one white ball.A second urn contains one black ball and two white balls (labelled $W_1,W_2$).Suppose the following experiment is performed.One of the two urns is chosen at random.Next a ball is randomly chosen from the urn.Then a second ball is chosen at random from the same urn without replacing the first ball.What is the probability that two balls of opposite colour are chosen.
cbse
math
class11
ch16
probability
exemplar
q12-c
sec-b
medium
answered
Jul 8, 2014
by
sreemathi.v
1
answer
One urn contains two black balls (labelled $B_1,B_2$) and one white ball.A second urn contains one black ball and two white balls (labelled $W_1,W_2$).Suppose the following experiment is performed.One of the two urns is chosen at random.Next a ball is randomly chosen from the urn.Then a second ball is chosen at random from the same urn without replacing the first ball.What is the probability that two black balls are chosen?
cbse
math
class11
ch16
probability
exemplar
q12-b
sec-a
easy
answered
Jul 8, 2014
by
sreemathi.v
1
answer
One urn contains two black balls (labelled $B_1,B_2$) and one white ball.A second urn contains one black ball and two white balls (labelled $W_1,W_2$).Suppose the following experiment is performed.One of the two urns is chosen at random.Next a ball is randomly chosen from the urn.Then a second ball is chosen at random from the same urn without replacing the first ball.Write the sample space showing all possible outcomes.
cbse
math
class11
ch16
probability
exemplar
q12-a
sec-a
easy
answered
Jul 8, 2014
by
sreemathi.v
1
answer
The accompanying venn diagram shows three events A,B and C,and also the probabilities of the various intersections (for instance $P(A \cap B)=0.07$).Determine Probability of exactly one of the three occurs
cbse
math
class11
ch16
probability
exemplar
q11-f
sec-a
easy
answered
Jul 8, 2014
by
sreemathi.v
1
answer
The accompanying venn diagram shows three events A,B and C,and also the probabilities of the various intersections (for instance $P(A \cap B)=0.07$).Determine $P(B\cap C)$
cbse
math
class11
ch16
probability
exemplar
q11-e
sec-a
easy
answered
Jul 7, 2014
by
sreemathi.v
1
answer
The accompanying venn diagram shows three events A,B and C,and also the probabilities of the various intersections (for instance $P(A \cap B)=0.07$).Determine $P(A\cap \bar{B})$
cbse
math
class11
ch16
probability
exemplar
q11-d
sec-a
easy
answered
Jul 7, 2014
by
sreemathi.v
1
answer
The accompanying venn diagram shows three events A,B and C,and also the probabilities of the various intersections (for instance $P(A \cap B)=0.07$).Determine $P(A\cup B)$
cbse
math
class11
ch16
probability
exemplar
q11-c
sec-a
easy
answered
Jul 7, 2014
by
sreemathi.v
1
answer
The accompanying venn diagram shows three events A,B and C,and also the probabilities of the various intersections (for instance $P(A \cap B)=0.07$).Determine $P(B \cap \bar{C}$)
cbse
math
class11
ch16
probability
exemplar
q11-b
sec-a
easy
answered
Jul 7, 2014
by
sreemathi.v
1
answer
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