Question

What is the probability of selecting two cards of different suits with replacement? What about without replacement? What if we want to select two cards of different ranks instead?

Answer 1

Ans:

With replacement:

probability of selecting two cards of different suits=(13/52)*(39/52)=0.1875

Without replacement:

probability of selecting two cards of different suits=(13/52)*(39/51)=0.1912

Now cards with different ranks:

probability of selecting two cards of different ranks with replacement=(4/52)*(48/52)=0.0710

probability of selecting two cards of different ranks without replacement=(4/52)*(48/51)=0.0724