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makkiz [27]
3 years ago
15

In a game of poker a hand of five cards is dealt to each player from a deck of 52 cards. find the probablility of a hand contain

ing a spade flush.
Mathematics
1 answer:
aalyn [17]3 years ago
7 0

Answer:

0.00597

Step-by-step explanation:

Given,

Total number of cards = 52,

In which flush cards = 20,

Also, the number of spade flush cards = 5,

Since,

\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}

Thus, the probability of a hand containing a spade flush, if each player has 5 cards

=\frac{\text{Ways of selecting a spade flush card}}{\text{Total ways of selecting five cards}}

=\frac{^{20}C_5}{^{52}C_5}

=\frac{\frac{20!}{5!15!}}{\frac{52!}{5!47!}}

=\frac{15504}{2598960}

= 0.00597  

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