Question

Suppose a bus arrives at a bus stop every 35 minutes. If you arrive at a bus stop at a random time, what is the probability that you will have to wait at least 20 minutes for the bus?
A- 3/7
B- 1/2
C- 5/7
D- 3/4

Answer 1

Answer:

$\frac{3}{7}$  

Step-by-step explanation:

Given : Suppose a bus arrives at a bus stop every 35 minutes

To Find: If you arrive at a bus stop at a random time, what is the probability that you will have to wait at least 20 minutes for the bus?

Solution:

A bus arrives at a bus stop every 35 minutes.

You arrive at a bus stop at a random time.

So, probability that you will wait at most 20 minutes = $\frac{20}{35}$

So, The probability that you will wait at least 20 minutes = $1-\frac{20}{35}$

                                                                                               = $\frac{35-20}{35}$  

                                                                                               = $\frac{15}{35}$  

                                                                                               = $\frac{3}{7}$  

Thus the probability that you will have to wait at least 20 minutes for the bus is  $\frac{3}{7}$  

Answer 2

5/7 because the original ratio would be 20/35 and then it would reduce to 5/7