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# Gate 2021: Engineering Mathematics Quiz 13 (App update required to attempt this test)

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Question 1

A box contains tags marked 1, 2 ....... 100. Two tags are chosen at random without replacement. The probability that the numbers on the tags will be consecutive integers is _______.

Question 2

Possibility of Ajay clearing an exam or failing in that exam are equal. Find the probability that Ajay will clear this exam at most once in 6 trials.

Question 3

Buses arrive at a specified stop at 15 minute intervals starting at 7 AM.if a passenger arrives at the stop at a random time between 7:00 and 7:30 AM, then the probability that the passenger waits less than 6 minutes is _______.

Question 4

A six- faced fair dice is rolled five times. The probability (in%)of obtaining “ONE” at least four times is

Question 5

A pair of fair dice is thrown independently three times. The probability of getting a score of exactly ‘9’ twice is

Question 6

Two independent random variables X and Y are uniformly distributed in the interval [–1, 1]. The probability that max [X, Y] is less than ½ is
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