If P(A)=0.4, P(B)=0.5, and A and B are independent, then P(A∪B) is: MCQ with Answer and Explanation

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If P(A)=0.4, P(B)=0.5, and A and B are independent, then P(A∪B) is:

A. 0.5

B. 0.9

C. 0.7

D. 0.2

Answer: Option C

Solution (By JKSSB Mock Tests)

0.4+0.5 - (0.4×0.5)=0.9-0.2=0.7.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1

Total Fertility Rate (TFR) is a period measure that assumes:

A. All women marry at the same age

B. Migration is zero

C. Women will experience current age-specific fertility rates throughout their lives

D. Mortality rates remain constant

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Correct Answer: Option C

Explanation:
TFR sums current ASFRs to estimate completed fertility for a hypothetical cohort, assuming no future changes in age-specific fertility behavior, making it a snapshot of current fertility intensity.

This question belongs to: Accountancy and Statistics Statistics

Question #2

If P(A) = 2/3 and P(B) = 1/2 and A, B are independent, then P(A∩B) is:

A. 1/3

B. 1/6

C. 2/3

D. 1/2

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Correct Answer: Option A

Explanation:
2/3 × 1/2 = 1/3.

This question belongs to: Accountancy and Statistics Statistics

Question #3

The arithmetic mean of 5 numbers is 20. If one number is excluded, the mean of the remaining 4 numbers becomes 18. The excluded number is:

A. 28

B. 20

C. 22

D. 30

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Correct Answer: Option A

Explanation:
Sum of 5 numbers = 5 × 20 = 100. Sum of 4 numbers = 4 × 18 = 72. Excluded number = 100 - 72 = 28.

This question belongs to: Accountancy and Statistics Statistics

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