Given two independent events A and B such that P (A)=0.3 and P(B) = 0.6 Find i. P (A B) ii. iv. iv. P (A ∪ B) v. P (A / B) vi. P (B / A)

Question

Philoid · Accepted Answer

For independent event,

P(A)*P(B)=0.3*0.6=0.18

ii.

iii.

iv.

=[(1–P(A)][1–P(B)] =[1–0.3][1–0.6]

=0.7*0.4=0.28

iv. P (A ∪ B)

P (A ∪ B)=P(A)+P(B)–P(A∩B)

=0.3+0.6–0.18=0.72

v. P (A / B)

vi. P (B / A)