1. What is the probability that a PA license plate ( 3 letters, 4 numbers) has 3
ID: 3066921 • Letter: 1
Question
1. What is the probability that a PA license plate ( 3 letters, 4 numbers) has 3 repeated letters and 4 repeated numbers (for example GGG-6666) Express your solution as a decimal accurate to SEVEN places. Has 3 repeated letters and 4 repeated numbers ( for example GGG-6996). Express your solution as a decimal accurate to FIVE places.
2. What is the probability that a 5-card poker hand is dealt as a Straight Flush ( 5 cards of the same suit in a sequence)? Express your solution accurate to SIX places.
3. What is the probability that a 3-card hand has 2 face cards (J,Q,K & A) and a 7? Express your solution as a decimal accurate to two places.
Explanation / Answer
Solution:-
2) The probability that the straight flush including royal flush is 0.000015.
Each straight flush is uniquely determined by its highest-ranking card. These ranks go from 5 (A-2-3-4-5) up to A (10-J-Q-K-A) in each of the 4 suits.
The number of such hands = 36 + 4 = 40
Total number of combinations of different hands = 52C5 = 2,598,960
Probability of straight flush including royal flush is = 40/2598960 = 0.0000154
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