Suppose the tree diagram below represents all the students in a high school and that one of these students were chosen at random. if the student is known to be a girl, what is the probability that the student is right-handed? a. 1/4 b. 3/4 c. 5/6 d. 1/6

The Answer is C 5/6

250/300 reduced and simplified is 5/6

The probability that the student is right-handed given that the student is a girl is:

Step-by-step explanation:

From the tree diagram we have to find the probability that the students is right handed given that the student is a girl.

Let A denote the event that the student is a girl.

and B denote the event that the student is right handed.

We are asked to find the probability:

P(B|A)

We know that P(B|A) is calculated as:

There are a total of 500 students.

Out of which 300 are girls.

( i.e.    )

and out of 300 girls 250 are right handed.

( i.e.  )

Hence,

Hence,The probability that the student is right-handed given that the student is a girl is:

a is the right answer