The probability that you do your math homework is 08 the pro

The probability that you do your math homework is 0.8, the probability that you do your history assignment is 0.7, and the probability of you doing your math homework or your history assignment is 0.9. Are the events

Solution

P(M)=0.8

P(H)=0.7

P(M U(or) H)=0.9

P(M n(and) H)= P(M) +P(H) -P(M U H)

=0.8+0.7-0.9

=0.6

FOR independant events

P(M n H) should be equal to P(M)* P(H)

P(M) * P(H) =0.8*0.7

=0.56 WHICH IS NOT EQUAL TO 0.6

so events are not independant