Question

At the race car rally attendees can sit in the bleachers the balcony or the grass. Athens probability of an attendee sitting in the bleachers is 1/4. The probability of an attendee sitting in the balcony is 7/16. What is the probability that an attendee wi sit in the grass

Answer 1

`(5)/(16)`

Explanation:

Given that at the race car rally attendees can sit in the bleachers the balcony or the grass.

In other words, there are only 3 options for the attendees and one person cannot sit in more than 1.

Hence sitting in bleachers, the balcony or the grass are three events which are mutually exclusive and exhaustive

This leads to the equation

Prob(sitting in bleachers)+Prob (sitting in balcony)+Prob (sitting in grass) =1

Let p be the probability for sitting in grass.

Substitute to get

`(1)/(4) +(7)/(16) +p=1\\p=1-((4+7)/(16) )\\p=(5)/(16)`