Question

A washing machine has the following cycle: soak for 18 minutes, wash for 32 minutes, and rinse for 20 minutes. If you approach the machine at a random time during the cycle, what is the probability that the cycle will be in the soak phase when you arrive at the machine? Round your answer to the nearest hundredth.

Answer 1

`0.26`

Explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

so

Let

x------> size of the event space

y-----> size of the sample space

so

`P=(x)/(y)`

In this problem we have

`x=18\ min`

`y=18+32+20=70\ min`

substitute

`P=(18)/(70)=0.26`