Application of Tree Diagrams in Sampling

Application of Tree Diagrams in Sampling

Secondary 4

A container holds roses of three colours. There are \(4\) pink, \(5\) blue and \(6\) red roses. Linda picks \(2\) roses at random, one after the other without replacement.

  1. Draw a tree diagram to illustrate the experiment.
  2. Calculate the probability that
    1. both roses are of the same colour,
    2. one of the roses is red and the other rose is blue.

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Answer:(b)(i) 31/105; (b)(ii) 2/7.

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