Recent questions in Probability

Suppose a girl throws a die. If she throws a 5 or 6, she tosses a coin 3 times and notes the number of heads. If she gets 1, 2, 3 or 4, she tosses a coin once and notes whether a head or tail is obtained. If she obtained exactly one head, what is the probability that she threw 1, 2, 3 or 4 with a die?

asked Dec 27, 2016 by priyanka.c

1 answer

A die is thrown 10 times. If getting a prime number is considered a success, find the probability of getting not more than 8 successes.

asked Dec 20, 2016 by priyanka.c

1 answer

If the letters of the word 'ASSASSINATION' are arranged at random in a row, find the probability that
(a) four S's come consecutively in the word
(b) All A's not coming together
(c) two I's and two N's come together.

asked Dec 19, 2016 by priyanka.c

1 answer

From a group of 7 men and 4 ladies, a committee o 6 persons is formed. What is the probability that the committee will consist exactly of 2 ladies ?

asked Dec 10, 2016 by priyanka.c

1 answer

In a game, a man wins a rupee for a six and loses a rupee for any other number when a fair die is thrown. The man decided to throw a die thrice but to quit as and when he gets a six. Find the expected value of the amount he wins / loses.

asked Dec 8, 2016 by priyanka.c

1 answer

A coin is tossed 6 times. What Is the probability that tail appears an odd no of times ?

asked Nov 30, 2016 by priyanka.c

1 answer

Event A and B are such that $P(A) = \frac{1}{2}, P(B) = \frac{7}{12} $, P (not A or not B) =$ \frac{1}{4}$. State whether A and B are independent.

asked Nov 23, 2016 by priyanka.c

1 answer

Two eggs are drawn successively with replacement from a lot containing 10% defective eggs. Find the probability that there is at least one defective egg.

asked Nov 19, 2016 by priyanka.c

1 answer

Two cards are drawn without replacement from a well shuffled pack of 52 cards. Find the probability that one is spade and other is a queen of red colour.

asked Nov 18, 2016 by priyanka.c

1 answer

A die which is marked with 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event 'number is even' and B be the event 'number is red' and Are A and B independent?

asked Nov 17, 2016 by priyanka.c

1 answer

State Biot Savart law. Use it to obtain the intensity of magnetic field at a point due to a long straight current carrying wire.

asked Feb 10, 2015 by meena.p

0 answers

Draw the logic circuit of a $NAND$ gate and wite its truth table.

asked Jan 28, 2015 by meena.p

0 answers

Five cards are drawn successively with replacement from a well-shuffled deck of 52 cards. What is the probability that (i) all the five cards are spades? (ii) only 3 cards are spades? (iii) none is a spade?

asked Mar 20, 2014 by balaji.thirumalai

1 answer

What is the difference between Bayes theorem and Total Probability theorem?

asked Feb 12, 2014 by sindhusankar30_1

1 answer

A bag contains 4 balls. Two balls are drawn at random and are found to be white. What is the probability that the bag has 3 white balls.

asked Jan 31, 2014 by rvidyagovindarajan_1

1 answer

Suppose you roll 5 dice and sum up the highest 3 numbers. What is the probability that the sum is 18?

asked Jan 30, 2014 by balaji

1 answer

Suppose that 5% of men and 0.25% of women have grey hair. A grey haired person is selected at random. What is the probability of this person being male? Assume that there are equal number of males and females.

asked Jan 30, 2014 by balaji

1 answer

A man fires 4 bullets on a thief.The probability that the thief will be killed by one bullet is 0.6. Findtheprobabilitythatthethiefisstillalive.

asked Jan 15, 2014 by ruku1723_1

0 answers

A die is thrown120 times and getting 1 or 5 is considered success. Find the mean,varianceof numberofsuccesses.

asked Jan 15, 2014 by ruku1723_1

1 answer

Suppose X has a binomial distribution $ B\; \large($$6, \large\frac{1}{2})$. What is the most likely outcome and for what value of X, where x = 0, 1, 2, 3, 4, 5, 6?

asked Jun 21, 2013 by balaji.thirumalai

1 answer

Find the probability distribution of the number of successes in two tosses of a die, where a success is defined as six appears on at least one die

asked Jun 20, 2013 by balaji.thirumalai

1 answer

Find the probability distribution of the number of successes in two tosses of a die, where a success is defined as number greater than 4.

asked Jun 20, 2013 by balaji.thirumalai

1 answer

Find the probability distribution of number of heads in four tosses of a coin.

asked Jun 19, 2013 by balaji.thirumalai

1 answer

Find the probability distribution of number of tails in the simultaneous tosses of three coins.

asked Jun 19, 2013 by balaji.thirumalai

1 answer

Find the probability distribution of number of heads in two tosses of a coin.

asked Jun 19, 2013 by balaji.thirumalai

1 answer

In a hostel, 60% of the students read Hindi news paper, 40% read English news paper and 20% read both Hindi and English news papers. A student is selected at random. If she reads English news paper, find the probability that she reads Hindi news paper.

asked Jun 19, 2013 by balaji.thirumalai

1 answer

In a hostel, 60% of the students read Hindi news paper, 40% read English news paper and 20% read both Hindi and English news papers. A student is selected at random. If she reads Hindi news paper, find the probability that she reads English news paper.

asked Jun 19, 2013 by balaji.thirumalai

1 answer

In a hostel, 60% of the students read Hindi news paper, 40% read English news paper and 20% read both Hindi and English news papers. A student is selected at random. Find the probability that she reads neither Hindi nor English news papers.

asked Jun 19, 2013 by balaji.thirumalai

1 answer

One card is drawn at random from a well shuffled deck of 52 cards. In which of the following cases are the events E and F independent? (i) E : the card drawn is a spade F : the card drawn is an ace (ii) E : the card drawn is black F : the card drawn is a king (iii) E : the card drawn is a king or queen F : the card drawn is a queen or jack.

asked Jun 19, 2013 by balaji.thirumalai

1 answer

One card is drawn at random from a well shuffled deck of 52 cards. Are E and F independent if E : the card drawn is a king or queen F : the card drawn is a queen or jack?

asked Jun 19, 2013 by balaji.thirumalai

1 answer

One card is drawn at random from a well shuffled deck of 52 cards. Are E and F independent if E : the card drawn is black F : the card drawn is a king?

asked Jun 19, 2013 by balaji.thirumalai

1 answer

If P(A) = $\large \frac{1}{2}$ and P(B) = 0, then P$\large(\frac{A}{B})$ is?

asked Jun 18, 2013 by balaji.thirumalai

1 answer

A fair die is rolled. Consider events E = {1,3,5}, F = {2,3} and G = {2,3,4,5}. Calculate $ P \large ( \large \frac{ E \cup F}{G})$ and $ P \large ( \large \frac{ E \cap F}{G})$

asked Jun 18, 2013 by balaji.thirumalai

1 answer

A fair die is rolled. Consider events E = {1,3,5}, F = {2,3} and G = {2,3,4,5}. Calculate P(E/G) and P(G/E).

asked Jun 18, 2013 by balaji.thirumalai

1 answer

A fair die is rolled. Consider events E = {1,3,5}, F = {2,3} and G = {2,3,4,5}. Find P(E|F) and P (F|E),

asked Jun 18, 2013 by balaji.thirumalai

1 answer

A black and a red dice are rolled. Find the conditional probability of obtaining a sum greater than 9, given that the black die resulted in a 5.

asked Jun 18, 2013 by balaji.thirumalai

1 answer

Determine P(E|F) when Two coins are tossed once, where E : no tail appears, F : no head appears

asked Jun 18, 2013 by balaji.thirumalai

1 answer

Determine P(E|F) when a coin is tossed three times, where E : at most two tails , F : at least one tail

asked Jun 18, 2013 by balaji.thirumalai

1 answer

Determine P(E|F) when a coin is tossed three times, where E : at least two heads , F : at most two heads

asked Jun 18, 2013 by balaji.thirumalai

1 answer