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Statistics MCQ - Probabilities

6 If A and B are two arbitrary events, then P(A ∩ B) cannot be

7 If M and N are two events, then probability that exactly one of them occurs is not equal to

8 If A and B are any two events then which one of the following pairs of events,are mutually exclusive?

9 There are three events A, B, C one of which must, and only one can happen, the odds are 8 to 3 against A, 5 to 2 against B. The odds against C are

Since odds are 8 to 3 against A

Probability

and P(A) + P(B) + P(C) = 1

Probability

Hence odds against C are 43 to 34.

10 There are two bags one of which contains :3 black and 4 white balls while other contains 4 black and:3 white balls. A dies is cast, if the face 1 or 3 t.urns up, a ball is taken from first bag and if any other face turns up, a ball is chosen from second bag. The probability of choosing of black ball is

Let E₁ be the event that a ball is drawn from
first bag, E₂ the event that a ball is drawn
from second bag and E the event a black ball
is chosen, therefore

probability

probability

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Question:

A man alternately tosses a coin and throw:, a dice, beginning with the coin. Then the probability that he will get a head before he gets a 5…

A. 1/4
B. 3/4
C. 4/5
D. 1/7

Correct answer: B

Explanation:

Let A be the event of getting 5 or 6P(A) = 1/3 and B be the event of getting 1,2,3,4P(B) = 2/3In order to get a 'Head' before…

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