PROBABILITY RULES

Solution

a) P(C) =

=

=P(C and Male) and P(C and Female)

b) P(Male and C)

=

P(C and Male)

c) P(C given students are male)

= P(C|M)

=

= P(C and M) /P(M)

d) P(Male given students are studying C)

= P(M|C)

=

= P(M and C) / P(C)