Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

Andy keeps 4 red socks and 8 black socks in his drawer. He chooses 2 socks at random from the drawer.
(i)[2]

Determine the probability that the two socks chosen are different colours.

(ii)[3]

The random variable $X$ counts the number of red socks chosen. Complete the probability distribution table for $X$.

(iii)[1]

Find $\text{E}(X)$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Setting up the probability for different colours with paired probabilities, for example $P(RB)+P(BR)$ or an equivalent approach

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI