Question

Find the probability of obtaining the given 5-card poker hand.

full house: three of a kind together with a pair

Answer 1

There are 52 cards in deck

We have to find the probability of obtaining 5 cards in poker hand that is full house three of kind and a pair .

So favourable outcome will be three K and a fair .

So cards having 13 differnt values like A K Q J 10 9 8 7 6 5 4 3 2 .

Also there are 4 suits .

So we have to choose 3 out of 4 kings =

Now from remaining 12 diffent value we have select 2 out of 4 that is =

So Event A = Selcting cards are three of kind together with a pair

By using multiplication law

Total number of sample = We have to select 5 cards out of 52 =

Therefore probability of event A =

Therefore probability of full house in agame of poker is 0.00144 .