Question

Find the indicated conditional probability

using the following two-way table:
P( Drive to school | Sophomore ) = [?]
Round to the nearest hundredth.

Answer 1

`\large \boxed{0.07}`

Explanation:

The usual question is, "What is the probability of A, given B?"

They are asking, "What is the probability that you are driving to school if you are a sophomore (rather than taking the bus or walking)?"

We must first complete your frequency table by calculating the totals for each row and column.

The table shows that there are 30 students, two of whom drive to school.

`P = (2)/(30)= \mathbf{0.07}\\\\\text{The conditional probability is $\large \boxed{\mathbf{0.07}}$}`

Answer 2

0.07

Explanation:

The number of sophmores is 2+25+3 = 30.

Of these sophmores, 2 drive to school.

So the probability that a student drives to school, given that they are a sophmore, is 2/30, or approximately 0.07.