1) Euchre is a card game that uses a 24-card deck (which can be formed by removi
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Question
1) Euchre is a card game that uses a 24-card deck (which can be formed by removing all of the 2’s, 3’s, 4’s, 5’s, 6’s, 7’s, and 8’s from a standard 52-card deck) in which the players are each dealt 5-card hands from the deck of 24. Suppose that you are playing Euchre and are dealt a 5-card hand.
a)What is the probability that you are dealt no more than 1 queen?
b) What is the probability that you are dealt no aces and exactly 2 hearts?
2)A 7-character password consists of three numbers (from 2 to 9) followed by four letters (from A to N).
a) How many different passwords can be formed that have no repeated number or letters?
b) How many different passwords can be formed if letters and numbers can be repeated?
Explanation / Answer
1)
a) There are total 4 queens and 20 other cards.
Hence , Probability = 4/24 * (20/23 * 19/22 * 18/21 * 17/20) = 0.091 Answer
b) Probability = (5/24 * 4/23) * (15/22 * 14/21 * 13/20) = 0.011 Answer
2)
a) Number of different passwords = (8*7*6) * ( 14 * 13 * 12 * 11) = 8072064 Answer
b) Number of different passwords = ( 8*8*8) * (14*14*14*14) = 19668992 Answer
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