SOLUTION: Please help me with this question. I am so confused. A boy has 18 coins in his jacket pocket. He has 8 pennies, 3 nickels, 2 dimes and 5 quarters. If he reaches his hand into th

Question 1117861: Please help me with this question. I am so confused.
A boy has 18 coins in his jacket pocket. He has 8 pennies, 3 nickels, 2
dimes and 5 quarters. If he reaches his hand into the pocket and grabs six coins:
a)
What is the probability of him getting three quarters?
b)
Determine the probability distribution for choosing quarters when the next six coins are each selected randomly.
Assume coin is put back in his pocket after each trial.
(Hint: Make a table for each trial)
c)
Calculate the probability of obtaining fewer than two quarters when the next six
coins are selected.
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
He has a total of 18 coins. Of these, 5 are quarters. The probability of him choosing 3 quarters is:
Total coins: 18
Total quarters: 5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
First draw: P(q) = 5/18
Second draw: P(q) = 4/17
Third draw: P(q) = 3/16
Multiply: 5/18*4/17*3/16 = 0.01225 = 1.225%

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