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gate Latest Exam Pattern - gate Sample Question with Solutions Page 33

(#M40109009) GATE QUESTION Probablity Keep an EYE

A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is six. Find the probability that it is actually a six.

Asked In Gate Jaspalsingh Parmar (10 years ago)

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(#M40109006) GATE QUESTION Probablity Keep an EYE

Bag A contains 4 red, 3 white and 2 black balls. Bag B contains 3 red, 2 white and 3 black balls. One ball is transferred from bag A to bag B and then a ball is drawn from bag B. The ball so drawn is found to be red. Find the probability that the transferred ball is black.

Asked In Gate Jaspalsingh Parmar (10 years ago)

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(#M40109005) GATE QUESTION Probablity Keep an EYE

In a hurdle race, a player has to cross 8 hurdles. The probability that he will clear a hurdle is 4/5 , what is the probability that he will knock down in fewer than 2 hurdles?

Asked In Gate Jaspalsingh Parmar (10 years ago)

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(#M40109002) GATE QUESTION Probablity Keep an EYE

Ten 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 In Gate Jaspalsingh Parmar (10 years ago)

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(#M40109000) GATE QUESTION Probablity Keep an EYE

A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn. What is the probability that they both are diamonds?

Asked In Gate Jaspalsingh Parmar (10 years ago)

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(#M40108999) GATE QUESTION Probablity Keep an EYE

Suppose that 10% of men and 5% of women have grey hair. A grey haired person is selected at random. What is the probability that the selected person is male assuming that there are 60% males and 40% females

Asked In Gate Jaspalsingh Parmar (10 years ago)

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(#M40108997) GATE QUESTION Probablity Keep an EYE

In a game, a man wins a rupee for a six and looses 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/looses

Asked In Gate Jaspalsingh Parmar (10 years ago)

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(#M40108993) GATE QUESTION Probablity Keep an EYE

A man takes a step forward with probability 0.4 and backward with probability 0.6. Find the probability that at the end of eleven steps he is one step away from the starting point

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(#M40108991) GATE QUESTION Probablity Keep an EYE

A and B throw a die alternatively till one of them throws a ‘6’ and wins the game. Find their respective probabilities of winning, if A starts the game

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(#M40108990) GATE QUESTION Probablity Keep an EYE

Two dice are thrown once. Find the probability of getting an even number on the first die or a total of 8.

Asked In Gate Jaspalsingh Parmar (10 years ago)

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