A bag has marbles of three different colours: red, blue and white. Two marbles are to be drawn from

Question

A bag has marbles of three different colours: red, blue and white. Two marbles are to be drawn from the bag, one after another without replacement. A partially completed tree diagram is shown below.
Given that the probability of drawing two marbles of different colours is \(\frac{31}{45}\), find

the probability of drawing two marbles of the same colour,
the value of \(x\),
the value of \(y\).

Accepted Answer

(a) 14/45; (b) 1/9; (c) 5/9.

Theoretical Probability in Successive Experiments

Theoretical Probability in Successive Experiments

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