For two independent events and

MATHEMATICS · Subjective · A Level · Mathematics · Probability · Probability

Problem

For two independent events

A

and

B

, let

P(A)=x

and

P(B)=x+0.1

with

0 < x < 0.9

. Given that

P(A \cup B)=0.65

, determine the value of

x

(correct to three decimal places).