A royal ush in a poker game is the sequence of ve cards A, K, Q, J, 10 in the sa
ID: 3067632 • Letter: A
Question
A royal ush in a poker game is the sequence of ve cards A, K, Q, J, 10 in the same suit. For example, A K Q J 10 is the royal ush club. A set of 5 cards was drawn from a standard deck.
a. What is the probability that it is royal ush of clubs? (a) 1 525 = .0000000025 (b) 1 52C5 = .00000038 (c) 1/52 (d) 5/52
b. What is the probability that it is a royal ush? (a) 4/52 (b) 4 525 = .00000001 (b) 4 52C5 = .00000154 (d) 20/52
I got "b" for the probability of a royal flush but I'm not sure I'm understanding the logic behind it. I haven't been able to solve for "a" though. If you could explain the logic behind the answers for "a" and "b", i'd greatly appreciate it. Thanks
Explanation / Answer
a) The probability that the hand is a royal flush is 0.00000154.
Total combination of royal flush = 4
Total number of combinations of different hands = 52C5 = 2,598,960
The probability that the hand is a royal flush is = 4/2598960 = 0.00000154.
b)
The probability that the hand is a royal flush is 0.00000154.
Total combination of royal flush = 4
Total number of combinations of different hands = 52C5 = 2,598,960
The probability that the hand is a royal flush is = 4/2598960 = 0.000001
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