SOLUTION: 5 apples are to be given to a group of children of 6 boys and 2 girls. What is the probability that a) a particular boy David will receive an apple, b) at most one of the girls w

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Question 1175049: 5 apples are to be given to a group of children of 6 boys and 2 girls. What is the probability that
a) a particular boy David will receive an apple,
b) at most one of the girls will receive an apple.
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
8C5 are number of ways altogether or 56 ways
for David the numerator is (1C1)(7C4)=35 ways, so probability is 35/56 which may be converted to a decimal if desired.
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probability 0 of the girls will get one is 6C5*2C0/56 or 6/56
for 1 of the girls it is (2C1)(6C4)/56=30 /56
That total is 36/56 and may be reduced or converted to a decimal.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

Notice that the problem formulation is DEFECTIVE.

It is defective, because the problem DOES NOT say that NO CHILD receives more than one apple.


As a consequence, different interpretations are possible,

meaning that the problem formulation is mathematically ambiguous.