Tour players harry, ron, harmione and ginny are playing a card game. a deck of 52 cards are dealt out equally. if harmione and ginny have a total of 8 spades among them, what is the probability that harry has 3 of the remaining 5 spades?

0.339

Step-by-step explanation:

Given : Tour players Harry, Ron, Harmione and Ginny are playing a card game.

. A deck of 52 cards are dealt out equally.

Then, the number of card each person has =

If Harmione and Ginny have a total of 8 spades among them, then the total cards the total spades left = 13-8=5

Now, the number of ways to get 3 of 5 spades :

Number of ways to draw remaining 10 cards :  

Also, the total cards Harmione and Ginny have = 13+13=26

Then the total cards left = 26

The number of ways to get 13 cards for Harry :

Now, the probability that Harry has 3 of the remaining 5 spades :_

Hence, the probability that Harry has 3 of the remaining 5 spades= 0.339 (approx)