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

Question

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

A. 3/8

B. 15/56

C. 1/2

D. 15/28

Answer: Option D

Solution (By JKSSB Mock Tests)

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

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A preliminary test of a questionnaire on a small subset of the population before the main survey is called:

A. Census

B. Stratification

C. Sampling

D. Pre-testing or Pilot Survey

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Correct Answer: Option D

Explanation:
A pilot survey helps in identifying shortcomings in the questionnaire design before full-scale implementation.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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Assertion (A): The arithmetic mean of a set of positive numbers is always greater than or equal to the geometric mean. Reason (R): AM ≥ GM for any set of non-negative numbers, and equality holds when all numbers are equal. Choose the correct option:

A. Both A and R are true, but R is not the correct explanation of A

B. A is true, R is false

C. A is false, R is true

D. Both A and R are true, and R is the correct explanation of A

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Correct Answer: Option D

Explanation:
AM-GM inequality is a fundamental property. R correctly states the condition and explains A.

This question belongs to: Accountancy and Statistics Statistics