Question

The probability that Terry buys a sandwich is 0.4.

The probability that Terry gets the bus is 0.9.
Assuming the events are independent, what is the probability that Terry buys a sandwich and gets the bus?

Answer 1

The probability that Terry buys a sandwich and gets the bus is 0.36

Explanation:

When two events are called independent, it means that the happening of one event doesn't affect the happening of other event.

Let A be the event that Terry buys a sandwich

Let B be the event that Terry gets the bus

Then

`P(A) = 0.4\\P(B) = 0.9`

When two events are independent, their probabilities are multiplied i.e.

`P(A\ and\ B) = P(A) * P(B)\\= 0.4 * 0.9\\= 0.36`

Hence,

The probability that Terry buys a sandwich and gets the bus is 0.36