A bag contains 3 red, 5 black balls. Two balls are drawn at random. The probability that they are of different colors is: MCQ with Answer and Explanation

A bag contains 3 red, 5 black balls. Two balls are drawn at random. The probability that they are of different colors is:
A. 15/28
B. 1/2
C. 15/56
D. 3/8
Answer: Option A
Solution (By JKExamLibrary)
Total ways C(8,2)=28. 1 red 1 black = 3×5=15. Probability=15/28.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1 Report Error
If events A and B are independent, which of the following must be true?
A. A and B are mutually exclusive
B. P(A|B) = P(A)
C. P(A) + P(B) = 1
D. P(A ∩ B) = 0

Correct Answer: Option B


Explanation:
Independence means knowledge of B does not affect A's probability, so P(A|B) = P(A); this is equivalent to P(A∩B)=P(A)P(B).

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
Bayes' theorem is based on the concept of:
A. Joint probability only
B. Unconditional probability
C. Disjoint events
D. Conditional probability

Correct Answer: Option D


Explanation:
Bayes' theorem expresses the conditional probability P(A|B) in terms of P(B|A) and prior probabilities.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
The current base year of WPI (wholesale price index) in India is:
A. 2012
B. 2011-12
C. 2015-16
D. 2004-05

Correct Answer: Option B


Explanation:
The revised WPI series uses 2011-12 as base.

This question belongs to: Accountancy and Statistics Statistics