An experiment has the following outcomes and probabilities I

An experiment has the following outcomes and probabilities:

It is known that P(e₄) is four time larger than P(e₅). Find p₄ and p_5.

Solution

we know that sum of all probabilities should be 1.

so .12+.24+.49+P(e4)+P(e5)=1

Given that P(e4)=4*P(e5)

so 5*P(e5)=.15 so  P(e5)=.03 and P(e4)=.12