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GATE 2022 : Engineering Mathematics -7

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Question 1

A fair six-sided dice is rolled twice. Assume six-sided dice is numbered as 0, 1, 2, 3, 4, 6. Given that the sum of values shown at first and second roll is 6, what is the probability that the value of the first rolled dice is less than or equal to the value of the second rolled dice?

Question 2

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

Question 3

If a coin is tossed n-times, what is the probability that head will appear odd number of items?

Question 4

A fair dice is tossed eight times. Probability that on the eighth throw a third six is observed, is

Question 5

Fifteen coupons are numbered, 1, 2, 3, .....15. Seven coupons are selected at random one at a time with replacement. Find the probability the largest number appearing on the coupon is 9's..

Question 6

Consider a case where there are 2 bags, one is having five red and seven white balls and the other consist of three red and twelve white balls. We need to take out a ball from one or the other two bags, find the probability that a red ball is taken out.
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