If P(A)=0.4, P(B)=0.5, and A and B are independent, then P(A' ∩ B') equals: MCQ with Answer and Explanation

Question

Share Report Error

If P(A)=0.4, P(B)=0.5, and A and B are independent, then P(A' ∩ B') equals:

A. 0.1

B. 0.9

C. 0.2

D. 0.3

Answer: Option D

Solution (By JKSSB Mock Tests)

P(A')=0.6, P(B')=0.5, independence ⇒ P(A'∩B') = 0.6 × 0.5 = 0.3.

This question belongs to: Accountancy and Statistics Statistics

Request complete Subject PDF

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Statistics Questions

Question #1

A coin is tossed twice. The probability of getting at least one head is:

A. 1/2

B. 3/4

C. 1/4

D. 1

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option B

Explanation:
All outcomes except TT (1/4). So 1 - 1/4 = 3/4.

This question belongs to: Accountancy and Statistics Statistics

Question #2

According to Sturges' rule, the approximate number of classes for n = 50 is: (Use k = 1 + 3.322 log₁₀ n)

A. 8

B. 5

C. 7

D. 6

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option C

Explanation:
log₁₀50 ≈ 1.699; 3.322 × 1.699 ≈ 5.64; 1 + 5.64 = 6.64, which rounds to 7 classes.

This question belongs to: Accountancy and Statistics Statistics

Question #3

For a skewed distribution, which measure of central tendency is generally MOST resistant to extreme values?

A. Arithmetic mean

B. Geometric mean

C. Mode

D. Median

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option D

Explanation:
The median is the middle value when data is ordered, making it less affected by outliers or extreme values compared to the mean, which incorporates all values in its calculation.

This question belongs to: Accountancy and Statistics Statistics

Explore All Statistics MCQs