X and Y are two discrete random variables with a joint proba

X and Y are two discrete random variables with a joint probability distribution defined by the table: Probabilities 0.144 0.096 0.456 0.304 What is P(X-0 Y-0)? 0.76 0.4 0.24 0.096 0.6

Solution

JOINT probability,

P(X=0 I Y=0 )= P(X=0 AND Y=0 )/ P( Y=0)

=0.456/ (0.456+0.144)

=0.456/0.6

=0.76