PROBABILITY 13

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

What will be the probability of getting a spade and an ace?

Solution

(This is a problem with replacement)

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

P(E) = n(E)

            n(S)

1st pick(spade) = 13/52

2nd pick(an ace) = 4/52.

P(a spade and an ace) =   13      x    4

                                         52           52

P(a spade and an ace) =  ¹13      x    4 ¹

                                        ₄52           52 ₁₃

P(a spade and an ace) =  1      x    1

                                        4           13

P(a spade and an ace) =     1      

                                         52     

Therefore Probability of drawing a spade and an ace is 1/52 

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

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

What will be the probability of getting a number 2 and a joker?