PROBABILITY C1

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

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

Solution

(this is a problem with replacement)

n(E) = 4, n(S) = 52

P(E) = n(E)

           n(S)

1st pick = 4/52

2nd pick = 4/52 as well.

P(Aces) =  4      x    4

                  52         52

P(Aces) =    16    =      1 

                  2704        169  

Therefore Probability of drawing 2 aces is 1/169