In a deck of 52 cards, there are 4 aces each of one suit respectively.
Let X be the random variable denoting the number of aces for an event when two cards are drawn simultaneously.
∴ X can take values 0, 1 or 2.
[For selecting 0 aces, we removed all 4 aces from the deck and selected out of 48]
[For selecting 1 ace, we need to select and 1 out of 4 and not any other]
[For selecting 2 aces, we need to select and 2 out of 4]
Now we have pi and xi.
∴ Now we are ready to write the probability distribution for X:-
The following table gives probability distribution:
