Answer to Question #93132 in Statistics and Probability for 2514

Question

if P(A) =0.45, then P(A) = ?

Answer 1

Given that $P(A)=0.45, P(B)=0.35, P(A\cap B)=0.25$

Complement rule

$$P(\bar{A})=1-P(A)=1-0.45=0.55$$

Addition rule

$$P(A\cup B)=P(A)+P(B)-P(A\cap B)$$

$$P(A\cup B)=0.45+0.35-0.25=0.55$$