Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

While Ted is trying to locate his pen, the chance that it is inside his pencil case is $0.7$. If the pen is in his pencil case, he always succeeds in finding it. If the pen is elsewhere, the chance that he finds it is $0.2$.
(main)[4]

If Ted has found his pen while searching for it, determine the probability that it was in his pencil case.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Try applying the conditional probability formula, in other words the quotient

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