Five cards Vt drawn from an ordinary deck without replacemen

Five cards Vt drawn from an ordinary deck without replacement. Find the probability of getting: All red cards. All Diamonds. All Aces.

Solution

Given that 5 cards are drawn from pack of cards

a ) Total number of red cards in pack of cards = 26

Hence,

probability of getting all 5 cards are red = 5 / 26

b ) Total number of diamond cards in pack of cards = 13

Hence,

probability of getting all 5 cards are diamond = 5 / 13

c ) since total number of aces in pack of cards are 4,

the probability of getting all 5 cards are aces = 0