2026 YTSS P1 Q16

2026 YTSS P1 Q16

Secondary 4
6 marks

A bag contains \(n\) red marbles and 2 blue marbles.

Three marbles are drawn from the bag at random, one after another without replacement.

The probability that three of the marbles drawn are red is \(\dfrac15\).

  1. Show that \(n\) satisfies the equation \(2n^2-9n+4=0\).[3]
  2. Hence, find the probability that at least two marbles drawn are red.[3]

Solution:

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Answer:(a) \(2n^2-9n+4=0\) (shown). (b) \(4/5\).

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