Question

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

Answer 1

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

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

Step-by-step explanation:

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

We will say A and B are independent events if :

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

$\text{P(A and B)=P(A) x P(B)}\\\\=0.60\times0.30=0.18$

Thus , A and B are independent events if :

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

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

Answer 2

Answer: P( A and B)= 0.18