If A and B are two independent events such that P(A)=0.40,P(B)=0.50. Find P(neitherAnorB)
0.90
0.10
0.2
0.3
Explanation for the correct option
Step 1. Find P(A') and P(B'):
Given,
P(A)=0.40
P(B)=0.50
We know that,
P(A')=1-PA =1-0.4=0.6
P(B')=1-PB =1-0.5=0.5
Step 2. Find P(A'∩B'):
P(A'∩B')=P(A')·P(B')
=0.6×0.5
∴ P(A'∩B')= 0.3
Hence, option "D" is correct.
Given two independent events A and B such that P(A) = 0.3, P(B) = 0.6 Find P (neither A nor B)