Question

Title A standard deck of cards consisting of 52 cards, 13 in each of 4 different suits, is shuffled, and   Description ...


Title
A standard deck of cards consisting of 52 cards, 13 in each of 4 different suits, is shuffled, and
 
Description
A standard deck of cards consisting of 52 cards, 13 in each of 4 different suits, is shuffled, and 4 cards are drawn without replacement. What is the probability that all four cards are of a different suit?

Answer

Given

A standard deck of cards consisting of 52 cards, 13 in each of 4 different suits, is shuffled

Number of ways 4 cards can be drawn from a deck of cards

=52C4=270725

Again, there are 4 suits of 13 cards each.

So the number of ways 4 cards from different suits can be drawn 

=13C1×13C1×13C1×13C1=28561 

So the probability is 

28561270725=0.105

Recent Questions