Two probability equations for counter counts

Two probability equations for counter counts

Secondary 2
6 marks
TGM Original Questions

Core stretch

A bag contains \(x\) red and \(y\) yellow counters. The probability of red is \(\frac{3}{8}\). One counter is selected at random.

  1. Form an equation connecting \(x,y\).[2]
  2. Four red counters are added and the probability of yellow becomes \(\frac{1}{2}\).
    1. Form a second equation.[2]
    2. Find \(x,y\).[2]

Solution:

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Answer:(a) \(5x=3y\) (b)(i) \(y=x+4\) (ii) \(x=6,y=10\).

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