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Probability Tes...

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  • Question 1
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    Three numbers are chosen at random without replacement from {1, 2, ...8}. The probability that their minimum is 3, given that their maximum is 6, is

  • Question 2
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    Let U1 and U2, be two urns such that U1 contains 3 white and 2 red balls and U2, contains only 1 white ball. A fair coin is tossed. If head appears, then 1 ball is drawn at random from U1 and put into U2. However, if tail appears, then 2 balls are drawn at random from U1 and put into U2. Now, 1 ball is drawn at random from U2.
    22. The probability of the drawn ball from U2 being white

  • Question 3
    4 / -1

    Let U1 and U2, be two urns such that U1 contains 3 white and 2 red balls and U2, contains only 1 white ball. A fair coin is tossed. If head appears, then 1 ball is drawn at random from U1 and put into U2. However, if tail appears, then 2 balls are drawn at random from U1 and put into U2. Now, 1 ball is drawn at random from U2.
    If the drawn ball from U2 is white, then the probability that head appeared on the coin is

  • Question 4
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    Let E and F be two independent events. The probability that exactly one of them occurs is 11/25 and the probability of none of them occurring is 2/25. If P(T) denotes the probability of occurrence of the event T, then

  • Question 5
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    If A, B and C are pairwise independent events with P(C) > 0 and P(A ∩ B ∩ C) = 0. Then, P(Ac ∩ Bc ∕ C) is equal to

  • Question 6
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    If A and B are two non-empty sets with Bc denoting the complement of set B such that B ⊂ A, then which of the following probability statements hold correct?

  • Question 7
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    A signal which can be green or red with probability 4/5 and 1/5 respectively, is received by station A and then transmitted to station B. The probability of each station receiving the signal correctly is 3/4. If the signal received at station B is green, then the probability that the original signal green is

  • Question 8
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    Two dice are tossed once. The probability of getting even number at the first die or a total of 8 is

  • Question 9
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    One ticket is selected at random from 50 tickets numbered 00, 01, 02, ..., 49. Then, the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero equals

  • Question 10
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    An unbiased die is tossed until a number greater than 4 appears. The probability that an even number of tosses is needed, is

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