Mathematics 9709 · AS & A Level · Probability

Probability — practice question

Eddie owns 16 toy cars: 8 are white, 5 are black and 3 are silver. He puts every car into a bag, then chooses three at random without replacement.
(a)[3]

Calculate the probability that the three cars are all the same colour.

(b)[4]

Find the probability that, when the 3 cars are chosen, at least one car is white and at least one car is black.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct probability expression for one valid case (product of three fractions or combinations).

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