PROBABILITY C12

A certain man takes 2 cards from a standard deck of 52 cards.

What will be the probability of getting a pair of hearts?

Solution

(This is a problem with replacement)

n(E) = 13, n(S) = 52

P(E) = n(E)

           n(S)

1st pick = 13/52

2nd pick = 13/52 as well.

P(2 hearts) =   13      x    13

                       52            52

P(2 hearts) =    169    =      1 

                        2704         16  

Therefore Probability of drawing 2 heart cards is 1/16     

TRY THIS............

A certain man takes 2 cards from a standard deck of 52 cards.

What will be the probability of getting a pair of spades?