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

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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. 0.9

C. 0.7

D. 0.1

Answer: Option C

Solution (By JKSSB Mock Tests)

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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Practice More Statistics Questions

Question #1

If the occurrence of one event precludes the occurrence of another, the events are:

A. Independent

B. Mutually Exclusive

C. Equally likely

D. Exhaustive

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Correct Answer: Option B

Explanation:
Mutually exclusive means disjoint events; if one happens, the other definitively cannot.

This question belongs to: Accountancy and Statistics Statistics

Question #2

Which of the following measures of central tendency is based on all observations and is most affected by extreme values?

A. Median

B. Mode

C. Arithmetic mean

D. Harmonic mean

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Correct Answer: Option C

Explanation:
Arithmetic mean uses every value and is pulled towards outliers.

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Question #3

The Median of the dataset: 12, 15, 10, 18, 20 is:

A. 18

B. 12

C. 10

D. 15

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Correct Answer: Option D

Explanation:
First, arrange in order: 10, 12, 15, 18, 20. The middle value (3rd item) is 15.

This question belongs to: Accountancy and Statistics Statistics

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