Question

At a busy street corner, the probability is that one of every hundred jaywalkers will be hit. What is his probability of not being hit if he makes a round trip daily for thirty days?

Answer 1

The correct answer to this problem is (0.9801)^30. I had this problem also.

Answer 2

Answer:
`(0.99)^(60)`

Explanation:

Given: The probability of jaywalkers will be hit =
`P(hit)=(1)/(100)`=0.01

Then, the probability of not getting hit will be

`\text{P(not hit)}=1-\text{P(hit)}\\\\=1-0.01=0.99`

For round trip, the the probability of not getting hit =
`(0.99)^2`

Now, for thirty days, the probability of not being hit if he makes a round trip daily for thirty days =
`(0.99^2)^(30)=(0.99)^(60)`

Hence, the probability of not being hit if he makes a round trip daily for thirty days =
`(0.99)^(60)`