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Statistics MCQ - Probabilities

21 The probability of drawing an ace or a spade or both from a deck of cards is

Probability of drawing an ace from a deck of
52 cards = 4/52
Similarly the probability of drawing a card of
spades = 13/52
Probability of drawing an ace of spades = 1/52
Since two events (i.e. a card being an ace and a
card being of spades) are not mutually exclusive.
therefore
Probability of drawing an ace or a spade

Probability

22 P(A₁' ∪ A₂' ∪ A₃') = 1 - P(A₁) P(A₂/A₁) P(A₃/A₁ ∩ A₂)

Probability

23 If P (A/C) ≥ P(B/C) and P(A/C₁') ≥ P(B/C₁'), then

Probability

24 If A and B are independent and P (C) = 0, then A, B and C are independent,

Probability

25 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 or 6 on dice is

Probability

Let A be the event of getting 5 or 6
P(A) = 1/3 and B be the event of getting 1,2,3,4
P(B) = 2/3
In order to get a 'Head' before "5 or 6", the
following events have to occur:
H, TBH, TBTBH, TBTBTBH, ....

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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