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vivado [14]
3 years ago
14

If you are delt 4 cards from shuffled deck of 52 cards, find the probability that all 4 cards are diamonds

Mathematics
1 answer:
miss Akunina [59]3 years ago
7 0
P(first diamond) = 13/52
P(second diamond) = (13-1)/(52-1) = 12/51
P(third diamond) = (13-2)/(52-2) = 11/50
P(fourth diamond) = (13-3)/(52-3) = 10/49
To get all four diamonds, multiply together the four probabilities to get
P(four diamonds)=13/52*12/51*11/50*10/49=11/4165
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(1) ×3:

6X= 15L -45 -----(3)

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6X= 8L +18 -----(4)

(3) -(4):

6X -6X= 15L -45 -(8L +18)

0= 15L -45 -8L -18

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Substitute L= 9 into (1):

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