What is the probability the person is a clown, given they are a boy? (30 pts)

Question

asked Aug 23, 2019 67.6k views

2 Answers

Donodarazao · Answer 1 · 2019-08-25T16:29:29+0000

The probability the person is a clown, given they are a boy is:

0.23077

Let A denote the event that the person is a boy.

Let B denote the event that the person is a clown.

Then A∩B denote the event that the person is a boy and is a clown.

Let P denote the probability of an event.

Hence, from the table that is given to us we get:

P(A)=0.65

P(A∩B)=0.15

We are asked to find the probability the person is a clown, given they are a boy i.e. we are asked to find: P(B|A)

We know that:

$P(B|A)=(P(A\bigcap B))/(P(A))$

Hence, from the given values we have:

$P(B|A)=(0.15)/(0.65)\\\\\\P(B|A)=(15)/(65)\\\\\\P(B|A)=(3)/(13)=0.23077$

Hence, the probability is:

0.23077

Johnie · Answer 2 · 2019-08-29T04:02:13+0000

According to the table given:

Total number of students are = 20

Total number of boys are = 13 , out of which, 3 will be clowns, 2 will perform acrobats and 8 will be elephant trainers.

So, we have to find the the probability that the person(a boy) is a clown. The probability will be =
(3)/(13)=0.230

Hence, answer is 0.230