It is known that $p\%$ of college students in Singapore score distinction for their Mathematics fi

Question

It is known that $p\%$ of college students in Singapore score distinction for their Mathematics final year examination. Given the probability that at least $2$ students out of $10$ randomly chosen students score distinction for their Mathematics final year examination is $0.95$, form an equation in terms of $p$ and hence find the value $p$.[3]

Accepted Answer

${{\left( 1-0.01p \right)}^{10}}+10\left( 0.01p \right){{\left( 1-0.01p \right)}^{9}}=0.05$; $p\approx 39.4$

2015 MJC P2 Q6

2015 MJC P2 Q6