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GATE CS 2022: Engineering Mathematics-4

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Question 1

The probability that January of a leap year should have 5 Sundays is

Question 2

Three coins are tossed. What is the probability of getting at most two tails?

Question 3

Let A and B be two events such that P(AUB)’ = 1/6, P(AB) = ¼ and P(A’) =1/4, where A’ stands for complement of event A. Then events A and B are

Question 4

A coin is biased such that a head is twice as likely to occur as a tail. If a coin is tossed 3 times, the probability of getting exactly 2 tails is

Question 5

A packet of 20 batteries is known to include 4 batteries that are defective. If 8 batteries are randomly chosen and tested, the probability of finding among them not more than 1 defective battery is

Question 6

One card is drawn from a well shuffled pack of 52 cards. If E is the event “the card drawn is a king or a queen” and F is the event “the card drawn is an ace or a queen,” then find the probability of the conditional event E/F.
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