If P(a)=0.60 and P(b)=0.30, then a and b are independent events if

Question

asked Oct 20, 2019 180k views

2 Answers

Rohit Garg · Answer 1 · 2019-10-26T05:28:03+0000

Answer:
$\text{P(A or B)}=0.90$

$\text{P(A and B)}=0.18$

Explanation:

Given : P(A)=0.60 and P(B)=0.30

We will say A and B are independent events if :

$\text{P(A or B)=P(A)+P(B)}\\\\=0.60+0.30=0.90$

$\text{P(A and B)=P(A) x P(B)}\\\\=0.60*0.30=0.18$

Thus , A and B are independent events if :

$\text{P(A or B)}=0.90$

$\text{P(A and B)}=0.18$