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. 1/8

B. 3/8

C. 1/4

D. 1/2

Answer: Option A

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

The main disadvantage of direct observation method is:

A. Low accuracy

B. High cost

C. Limited to observable behavior, cannot capture attitudes

D. High non-response

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Correct Answer: Option C

Explanation:
Observation only records external actions; it cannot reveal opinions, motives, or internal states.

This question belongs to: Accountancy and Statistics Statistics

Question #2

Assertion (A): Direct personal investigation is always the most suitable method for data collection. Reason (R): It provides original and highly accurate data.

A. A is true, but R is false

B. A is false, but R is true

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

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

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Correct Answer: Option B

Explanation:
Direct personal investigation is not always suitable, especially for very large populations, although it does yield highly accurate data.

This question belongs to: Accountancy and Statistics Statistics

Question #3

What happens to the Variance of a dataset if each observation is multiplied by a constant 'k'?

A. It increases by k

B. It remains unchanged

C. It is multiplied by k^2

D. It is multiplied by k

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Correct Answer: Option C

Explanation:
Variance involves squaring the deviations. Multiplying data by k scales the variance by the square of that constant (k^2).

This question belongs to: Accountancy and Statistics Statistics

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