Question

A purse contains $3$ sovereigns and two shillings: a person draws one coin in each hand and looks at one of them, which proves to be a sovereign; show that the other is equally likely to be a sovereign or a shilling.

Answer 1

The purse had $3$ sovereigns and $2$ shillings. After the first draw of a sovereign, there are $2$ sovereigns and $2$ shillings left.
Hence, probability of sovereign = $\frac{2}{4}=0.5$
And, the probability of shilling = $\frac{2}{4}=0.5$