Porisma

A hint to get started

Solve for a parameter and enforce probability bounds

Events A and B are such that P(A)=k+16P(A)=k+\frac16, P(B)=k+112P(B)=k+\frac1{12} and P(A∪B)=12P(A\cup B)=\frac12.

Given A and B are independent, find the value of k. marks

[2014/PJC/II/6]

CJC · Review problems · Question 1

Use P(A∩B)=P(A)P(B), then check the resulting roots against both probability constraints.

Read the worked solution