A fair coin is tossed until a head appears. The probability that it takes exactly 3 tosses is: MCQ with Answer and Explanation

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A fair coin is tossed until a head appears. The probability that it takes exactly 3 tosses is:

A. 1/4

B. 3/8

C. 1/2

D. 1/8

Answer: Option D

Solution (By JKSSB Mock Tests)

Sequence: T, T, H. Probability = (1/2)² * (1/2) = 1/8.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1

For a dataset with values 2, 4, 8, 16, 32, the geometric mean is:

A. 10

B. 8

C. 6

D. 12

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Correct Answer: Option B

Explanation:
Product = 32768. (32768)^(1/5) = 8 (since 8^5 = 32768).

This question belongs to: Accountancy and Statistics Statistics

Question #2

Weighted mean is preferred over simple arithmetic mean when:

A. The sample size is very small

B. Observations have different levels of importance or reliability

C. All observations are equally important

D. The data is qualitative

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Correct Answer: Option B

Explanation:
Weighted mean assigns different weights to observations based on their relative importance, providing a more accurate central value when some data points carry more significance than others.

This question belongs to: Accountancy and Statistics Statistics

Question #3

If P(A) = 0.4, P(B) = 0.5, and A and B are independent events, what is P(A ∪ B)?

A. 0.2

B. 0.1

C. 0.9

D. 0.7

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Correct Answer: Option D

Explanation:
For independent events, P(A ∩ B) = 0.4 × 0.5 = 0.2. Using the addition theorem: P(A ∪ B) = 0.4 + 0.5 - 0.2 = 0.7.

This question belongs to: Accountancy and Statistics Statistics

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