CAPE Applied Mathematics Unit 1 · 2015 · Paper 1 · Question Q17
A football team has a \frac{3}{5} probability of winning whenever it plays. If the team plays 8 games, the probability of winning exactly 5 games is
- (A)
^8C_5 \left(\frac{3}{5}\right)^5 \left(\frac{2}{5}\right)^3 - (B)
1 - \,^8C_5 \left(\frac{3}{5}\right)^5 \left(\frac{2}{5}\right)^3 - (C)
1 - \,^8C_5 \left(\frac{3}{5}\right)^3 \left(\frac{2}{5}\right)^5 - (D)
^8C_5 \left(\frac{3}{5}\right)^3 \left(\frac{2}{5}\right)^5
The answer is shown once you've answered.
Practise this question