Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

If A and B are two independent events such that P(A) = 2/7 and P(B) = 1/6 then P(A’ ∩ B’) is _________ 

Options:

2/42

25/42

25/49

5/42

Correct Answer:

25/42

Explanation:

$P(A)=\frac{2}{7},P(B)=\frac{1}{6}$

$P(A')=1-\frac{2}{7}=\frac{5}{7},P(B')=1-\frac{1}{6}=\frac{5}{6}$

$P(A'∩B')=P(A')×P(B')$  [Independent]

$=\frac{5}{7}×\frac{5}{6}=\frac{25}{42}$