Question

Help with probablilty question:

A sample space consists of five simple events, E1,E2,E3,E4,E5

If P(E1)=P(E2)=0.15, P(E3)=0.4, AND P(E4)=2P(E5), find the probablilty of E4 AND E5

Answer 1

P(E4) = 2P(E5) and you also know that P(E4) + P(E5) = 0.3 since events 1, 2 and 3 add to 0.7

a) Using algebra, you can find P(E4) = .2 and P(E5) = .1 from the above equations.

Answer 2

so i set up a system? and then solve it

Answer 3

yup

Answer 4

thanks