1. ## probability

5 apples are to be given to a group of children of 6 boys and 2girls. what is the probability that.

a particular boy david will receive an apple. ( answer provided 5/8) mind to show how

2. Hello, qweiop90!

5 apples are to be given to a group of children of 6 boys and 2girls.
What is the probability that a particular boy, David, will receive an apple.
Answer: . $\frac{5}{8}$

5 apples are given to 8 children; there are: . ${8\choose5} \:=\:{\color{blue}56}$ possible ways.

In how many ways can David be not given an apple?
Then the 5 apples are given to the other 5 boys and the 2 girls.
There are: . ${7\choose5} \:=\:21$ ways that David does not get an apple.

Hence, there are: . $56 - 21 \:=\:{\color{blue}35}$ ways that David does get an apple.

Therefore: . $P(\text{David gets an apple}) \;=\;\frac{35}{56} \;=\;\frac{5}{8}$