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GATE : Engineering Mathematics Champion Quiz 5

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Question 1

A fair coin is tossed 10 times. What is the probability that ONLY the first two tosses will yield heads?

Question 2

If three coins are tossed simultaneously, the probability of getting at least one head is

Question 3

If P(X) = 1/4, P(Y) = 1/3, and P(X ∩ Y) = 1/12, the value of P(Y/X) is

Question 4

In a population of N families, 50% of the families have three children, 30% of the families have two children and the remaining families have one child. What is the probability that a randomly picked child belongs to a family with two children?

Question 5

A coin is tossed 4 times. What is the probability of getting heads exactly 3 times?

Question 6

A fair coin is tossed three times in succession. If the first toss produces a head, then the probability of getting exactly two heads in three tosses is:

Question 7

A box contains 4 white balls and 3 red balls. In succession, two balls are randomly selected and removed from the box. Given that the first removed ball is white, the probability that the second removed ball is red is

Question 8

Two dice are thrown simultaneously. The probability that at least one of them will have 6 facing up is

Question 9

A fair six sided die is thrown twice. If the sum of the face values of these two tosses is 5 then what is the probability that the face value of the first toss is less than that of second toss?

Question 10

Let S be a sample space and two mutually exclusive events A and B be such that

=S. If P(.) denotes the probability of the event, the maximum value of P(A)P(B) is __________.

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ESE & GATE ME Engineering Mathematics

Mar 12ESE & GATE ME