SOLUTION: 1.a card is selected from a deck of 52 cards. what is the probability it is a queen? 2. in his pocket, jose has 5 dimes, 7 nickels, and 4 pennies. he selects 4 coins, without

Algebra ->  Probability-and-statistics -> SOLUTION: 1.a card is selected from a deck of 52 cards. what is the probability it is a queen? 2. in his pocket, jose has 5 dimes, 7 nickels, and 4 pennies. he selects 4 coins, without      Log On


   



Question 731167: 1.a card is selected from a deck of 52 cards. what is the probability it is a queen?

2. in his pocket, jose has 5 dimes, 7 nickels, and 4 pennies. he selects 4 coins, without replacement. what is the probability that he selects 2 dimes and 2 pennies in that order?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1.a card is selected from a deck of 52 cards. what is the probability it is a queen?
P(queen) = 4/52 = 1/13
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2. in his pocket, jose has 5 dimes, 7 nickels, and 4 pennies. he selects 4 coins, without replacement. what is the probability that he selects 2 dimes and 2 pennies in that order?
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# of ways to pick 2 dimes: 5C2 = 10
# of ways to pick 2 pennies: 4C2 = 6
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# of ways to select 2 dimes and 2 pennies: 10*6
# of ways to pick 4 coins in general: 20C4 = (20*19*18*17)/(1*2*3*4) = 4845
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P(2 dimes and 2 pennies) = 60/4845 = 0.0124
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Cheers,
Stan H.
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