There are 5 red chips and 3 blue chips in a bowl. The red chips are numbered 1:5 and blue chips 1:3, respectively. If two chips are to be drawn at random and without replacement, find the probability that these chips have either the same number or the same colour.
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There are only two chips with numbers, so the probability of drawing both of them is $\frac{2}{10} \times \frac{1}{9} = \frac{1}{45}$. Show more…
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