Question
A team of 6 players is to be selected from 10 volleyball players, of whom 8 are boys and 2 are girls.
a.In how many ways can the team be selected?[2]
b.In how many of these selections is exactly one girl in the team?[3]
c.If the selection of the team is made at random, find the probability that exactly one girl is in the team.[2]
Answer/Explanation
Markscheme
\(\left( {\begin{array}{*{20}{c}}
{10} \\
6
\end{array}} \right) = 210\) (M1)A1
[2 marks]
a.
\(2 \times \left( {\begin{array}{*{20}{c}}
8 \\
5
\end{array}} \right) = 112\) (M1)A1A1
Note: Accept \(210 – 28 – 70 = 112\)
[3 marks]
b.
\(\frac{{112}}{{210}}\,\,\left( { = \frac{8}{{15}} = 0.533} \right)\) (M1)A1
[2 marks]