Question

A and B be two independent events of a sample space such that $P\left(A\right)=0.2,P\left(B\right)=0.5$
LIST-I LIST-II
A) $P\left(B/A\right)$ 1$.0.2$
B) $P\left(A/B\right)$ 2 $.0.1$
C) $P(A\cap B)$ 3$.0.3$
D) $P(A\cup B)$ 4 $.0.6$
5$.0.5$
The correct match for List-I from List-II
A B C D

• A. $4,5,3,1$
• B. $5,1,2,4$
• C. $3,1,2,4$
• D. $2,1,4,5$

Answer 1

Answer: (B)

$5,1,2,4$

$A$ and $B$ both are independent event.

A)$P\left(B/A\right)=P\left(B\right)=0.5$

B)$P\left(A/B\right)=P\left(A\right)=0.2$
C)$P(A\cup B)=P\left(A\right)\times P\left(B\right)=0.5\times 0.2=0.1$

D)$P(A\cap B)=P\left(A\right)+P\left(B\right)-P\left(A\right)\times P\left(B\right)=0.5+0.2-(0.5\times 0.2)=0.6$

$\therefore ABCD\to 5124$