A statistician has the following information: Probability of E1 = 0.54 Probability of E2 given that E1 has already happened = 0.18 What is the P ( E1 and E2 ) ? Solution p(e1 and e2) =P(E1)P(E2/E1) USING CONDITIONAL PROBABILTY =0.54*0.18 =0.0972.

1. A statistician has the following information: Probability of E1 = 0.54 Probability of E2 given
that E1 has already happened = 0.18 What is the P ( E1 and E2 ) ?
Solution
p(e1 and e2) =P(E1)P(E2/E1) USING CONDITIONAL PROBABILTY =0.54*0.18
=0.0972