Given that the events A and B are such that and

MATHEMATICS · Multi-part · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions

Problem

7. Given that the events A and B are such that

\mathrm{P}(\mathrm{A})=\frac{1}{2}, \mathrm{P}(\mathrm{A} \cup \mathrm{B})=\frac{3}{5}

and

\mathrm{P}(\mathrm{B})=p

. Find

p

if they are (i) mutually exclusive (ii) independent. (i) mutually exclusive (ii) independent