Question

the probabilities of two persons A and B catching a bus are 2/3 and 3/4. What is the probability that both persons catch the bus?

Answer 1

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:

`\begin{gathered} P(A\text{ and B) = }(2)/(3)\ast(3)/(4) \\ \\ P(A\text{ and B) = }(2\ast3)/(3\ast4)=(6)/(12)=(1)/(2) \end{gathered}`

Therefore, the probability both persons catch the bus is ½

ANSWER:

`(1)/(2)`