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Acoin is tossed If a head is observed, a number is randomly selected from the set $\{1,2,3\}$ and if a tail is observed. number is randomly selected from the set $\{2,3,4,5\}$. If the selected number be denoted by $X$, what is the probability that $X=3$ ?
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$7 / 2 A$
Probability that $(\mathrm{X}=3)=\frac{1}{2} \times \frac{1}{3}+\frac{1}{2} \times \frac{1}{4}=\frac{7}{24}$
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