Given:
Probability person A catches the bus = ⅔
Probabilty person B catches the bus = ¾
Let's find the probability both persons catch the bus.
To find the probability both persons catch the bus, multiply the probability person A catches the bus and probability person B catches the bus.
Thus, we have:
[tex]\begin{gathered} P(A\text{ and B) = }\frac{2}{3}\ast\frac{3}{4} \\ \\ P(A\text{ and B) = }\frac{2\ast3}{3\ast4}=\frac{6}{12}=\frac{1}{2} \end{gathered}[/tex]Therefore, the probability both persons catch the bus is ½
ANSWER:
[tex]\frac{1}{2}[/tex]