Recent questions and answers in Probability

Match the following :

answered Jul 9, 2014 by sreemathi.v

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Match the proposed probability under Column $C_1$ with the appropriate written description under column $C_2$ :

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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 ________.

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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 _________

answered Jul 9, 2014 by sreemathi.v

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Let S={1,2,3,4,5,6} and E={1,3,5},then $\bar{E}$ is_________.

answered Jul 9, 2014 by sreemathi.v

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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 ______.

answered Jul 9, 2014 by sreemathi.v

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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 _____________

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True-or-False : The sum of probabilities of two students getting distinction in their final examinations is 1.2

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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.

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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.

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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?

answered Jul 9, 2014 by sreemathi.v

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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

answered Jul 9, 2014 by sreemathi.v

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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.

answered Jul 9, 2014 by sreemathi.v

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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.

answered Jul 9, 2014 by sreemathi.v

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If M and N are any two events,the probability that at least one of them occurs is

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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

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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

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A single letter is selected at random from the word PROBABILITY .The probability that it is a vowel is

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6 boys and 6 girls sit in a row at random.The probability that all the girls sit together is

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If $A\cup B)=P(A \cap B)$ for any two events A and B,then

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If A and B are mutually exclusive events,then

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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

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Seven persons are to be seated in a row.The probability that two particular persons sit next to each other is

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While shuffling a pack of 52 playing cards,2 are accidently dropped.Find the probability that the missing cards to be of different colours.

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Three numbers are chosen from 1 to 20.Find the probability that they are not consecutive.

answered Jul 8, 2014 by sreemathi.v

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In a non-leap year,the probability of having 53 tuesdays or 53 wednesdays is

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Determine the probability P,for each of the following events.Sum of 6 appears in a single toss of a pair of fair dice.

answered Jul 8, 2014 by sreemathi.v

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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.

answered Jul 8, 2014 by sreemathi.v

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Determine the probability P,for each of the following events.Atleast one head in two tosses of a fair coin.

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Determine the probability P,for each of the following events.An odd number appears in a single toss of a fair die.

answered Jul 8, 2014 by sreemathi.v

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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 $\bar{B}$.

answered Jul 8, 2014 by sreemathi.v

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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.

answered Jul 8, 2014 by sreemathi.v

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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 $P(A \cup B)$ .

answered Jul 8, 2014 by sreemathi.v

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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 $P(A \cap B)$

answered Jul 8, 2014 by sreemathi.v

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A card is drawn from a deck of 52 cards.Find the probability of getting a king or a heart or a red card.

answered Jul 8, 2014 by sreemathi.v

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If the letters of the word ASSASSINATION are arranged at random.Find the probability that no two A's are coming together

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If the letters of the word ASSASSINATION are arranged at random.Find the probability that all A's are not coming together

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If the letters of the word ASSASSINATION are arranged at random.Find the probability that two I's and two N's come together.

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If the letters of the word ASSASSINATION are arranged at random.Find the probability that four S's come consecutively in the word.

answered Jul 8, 2014 by sreemathi.v

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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

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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

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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

answered Jul 8, 2014 by sreemathi.v

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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.

answered Jul 8, 2014 by sreemathi.v

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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?

answered Jul 8, 2014 by sreemathi.v

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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.

answered Jul 8, 2014 by sreemathi.v

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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

answered Jul 8, 2014 by sreemathi.v

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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 $P(B\cap C)$

answered Jul 7, 2014 by sreemathi.v

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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 $P(A\cap \bar{B})$

answered Jul 7, 2014 by sreemathi.v

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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 $P(A\cup B)$

answered Jul 7, 2014 by sreemathi.v

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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 $P(B \cap \bar{C}$)

answered Jul 7, 2014 by sreemathi.v

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