Conditional probability P(B|A) is defined as P(A ∩ B) / P(A) provided that: MCQ with Answer and Explanation

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Conditional probability P(B|A) is defined as P(A ∩ B) / P(A) provided that:

A. P(A ∪ B) = 1

B. A and B are independent

C. P(A) > 0

D. P(B) > 0

Answer: Option C

Solution (By JKSSB Mock Tests)

The definition of conditional probability requires P(A) > 0 to avoid division by zero; if P(A)=0, P(B|A) is undefined.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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A bag contains 4 white and 6 black balls. Two balls are drawn at random. Probability they are of different colors is:

A. 16/45

B. 10/45

C. 24/45

D. 12/45

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Correct Answer: Option C

Explanation:
Total ways C(10,2)=45. Favorable: 1 white, 1 black = C(4,1)×C(6,1)=24. Probability = 24/45 = 8/15.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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When data is classified according to time (e.g., years, months, weeks), it is called:

A. Discrete classification

B. Conditional classification

C. Chronological classification

D. Geographical classification

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Correct Answer: Option C

Explanation:
Chronological classification arranges data in order of time, forming a time series.

This question belongs to: Accountancy and Statistics Statistics

Question #3

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A bag contains 3 red and 2 blue balls. Two balls are drawn at random without replacement. The probability that both are red is:

A. 3/5

B. 3/10

C. 1/2

D. 9/25

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Correct Answer: Option B

Explanation:
P(both red) = (3/5) × (2/4) = 6/20 = 3/10. Without replacement, the probability changes after the first draw, requiring multiplication of conditional probabilities.

This question belongs to: Accountancy and Statistics Statistics

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