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Statistics MCQ - Probabilities

41 A restaurant serves two special dishes A and B to its customers consisting of 60% men and 40% women. 80% of men order dish A and the rest B and 70% women order dish A and the rest B. In what ratio of A to B should the restaurant prepare the dishes?

Ratio of A and B = 60 x 80 + 40 x 70 : 60 x 20
+40 x 30

= 76 : 24
= 19: 6

42 If A and B are mutually exclusive and
P (A ∪ B) = P (A) + P (B), then
P(A/A ∪ B) =

Probability

43 If P(A) = 0, then

Probability

44 The mean of a set of number is x'. If each number is increased by λ, then mean of the new set is

"When each item is increased by λ, then mean is also increased by λ"

45 If P(A) = P(B'), then

P(A) = P(B') P(A) = 1 - P(B) P(A) + P(B) = 1 P(A ∪ B) - P(A ∩ B) = 1 = P(S) Hence, A ∪ B = S only if A ∩ B = φ i.e. A = B' only if A ∩ B = φ

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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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