At a large college, every student who studies Science also studies exactly one of Art, Drama or Music. $20\%$ of these students study Art, $45\%$ study Drama and $35\%$ study Music.
(a)[2]
3 students are chosen at random from the students who study Science. Find the probability that at least $1$ of these students studies Drama.
(b)[3]
10 students are chosen at random from the students who study Science. Find the probability that more than $7$ study Art or Music.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Write a correct probability expression, such as $1-(0.55)^3$ or an equivalent binomial expression.” …