In a class of 100 students, 60 play cricket, 50 play football, and 30 play both. Probability a random student plays neither is: MCQ with Answer and Explanation

Question

In a class of 100 students, 60 play cricket, 50 play football, and 30 play both. Probability a random student plays neither is:

A. 0.4

B. 0.1

C. 0.3

D. 0.2

Answer: Option D

Solution (By JKSSB Mock Tests)

P(C∪F) = 60+50-30 = 80. Playing neither = 100 - 80 = 20; probability = 20/100 = 0.2.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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For given data Σp₁q₀=480, Σp₀q₀=400, Σp₁q₁=600, Σp₀q₁=500. Fisher's index is:

A. 121.0

B. 120.0

C. 124.9

D. 122.5

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Correct Answer: Option B

Explanation:
Laspeyres = 480/400×100=120; Paasche = 600/500×100=120; Fisher = √(120×120) = 120.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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In Bayes' theorem, the probability P(E_i|A) is called:

A. Marginal probability

B. Prior probability

C. Likelihood

D. Posterior probability

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Correct Answer: Option D

Explanation:
The updated probability after observing the evidence is the posterior probability.

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Question #3

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If TFR = 2.5 and proportion of female births is 0.48, GRR is:

A. 2.5

B. 1.2

C. 1.3

D. 1.04

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Correct Answer: Option B

Explanation:
GRR = 2.5 × 0.48 = 1.2 daughters per woman.

This question belongs to: Accountancy and Statistics Statistics

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