A painter has $12$ tins of paint. Seven tins are red and five tins are yellow. Two tins are c

Question

A painter has $12$ tins of paint. Seven tins are red and five tins are yellow. Two tins are chosen at random. Calculate the probability that both tins are the same colour.[6]

Accepted Answer

$P(\text{same colour})=\frac{\binom72+\binom52}{\binom{12}2}=\frac{31}{66}$.

Calculate a same-colour probability without replacement.

Calculate a same-colour probability without replacement.

Solution:

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