Question

(i) In a bridge hand of 13 cards, what is the probability of being dealt exactly two red cards? (ii) In a bridge hand of 13 cards, what is the probability of being dealt four spades, four clubs, three hearts and two diamonds?

Answer 1

(i)

Number of possible 13 cards out of 52 cards =

Number of ways of selecting 2 Red cards from 13 Red cards =

Number of ways of selecting 11 Non-Red cards from 39 Non-Red cards =

So,

P(Exactly 2 Red cards) =

So,

Answer is:

0.2059

(ii)

Number of ways of selecting 4 Spades from 13 Spades =

Number of ways of selecting 4 Clubs from 13 Clubs =

Number of ways of selecting 3 Hearts from 13 Hearts =

Number of ways of selecting 2 Diamonds from 13 Diamonds =

So,

Required Probability =