Question

# (i) In a bridge hand of 13 cards, what is the probability of being dealt exactly...

(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?

(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,

0.2059

(ii)

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 =

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