A bag contains 3 red and 4 black balls. If two balls are drawn at random without replacement, what is the probability that both are red? MCQ with Answer and Explanation

A bag contains 3 red and 4 black balls. If two balls are drawn at random without replacement, what is the probability that both are red?
A. 2/7
B. 1/7
C. 3/14
D. 9/49
Answer: Option B
Solution (By JKSSB Mock Tests)
P(Both Red) = (3/7) × (2/6) = 6/42 = 1/7.

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Practice More Statistics Questions

Question #1
The Wholesale Price Index (WPI) base year 2011-12 includes:
A. Consumer durables only
B. Only food articles
C. Services
D. Goods only, grouped into primary, fuel, and manufactured products

Correct Answer: Option D


Explanation:
WPI basket comprises goods under three major groups: Primary Articles, Fuel & Power, Manufactured Products.

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Question #2
From a standard deck of 52 cards, one card is drawn. What is the probability that it is either a King or a Heart?
A. 17/52
B. 16/52
C. 1/4
D. 4/13

Correct Answer: Option B


Explanation:
P(K or Heart) = P(K) + P(Heart) - P(King of Hearts) = 4/52 + 13/52 - 1/52 = 16/52.

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Question #3
A life table is primarily based on which of the following demographic measures?
A. Age Specific Death Rate
B. General Fertility Rate
C. Infant Mortality Rate
D. Age Specific Fertility Rate

Correct Answer: Option A


Explanation:
Life tables are constructed using Age Specific Death Rates (qx) to determine the probability of surviving from one age to the next.

This question belongs to: Accountancy and Statistics Statistics