A bag contains $3$ gold counters and $2$ silver counters. Two counters are selected at random wi

Question

A bag contains $3$ gold counters and $2$ silver counters. Two counters are selected at random without replacement. $G$ means gold and $S$ means silver. $\frac35$ G $a$ S $b$ G $c$ S $\frac34$ G $d$ S Find $a,b,c,d$.[2] Find the probability that both counters have the same colour.[2]

Accepted Answer

(a) $a=\dfrac25,b=\dfrac12,c=\dfrac12,d=\dfrac14$ (b) $\dfrac25$

Completing changing branch probabilities

Completing changing branch probabilities

Solution:

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