Question

Find the indicated conditional probability
using the following two-way table:
Grade
Sophomore
Junior
Senior
Drive to school Take the bus
2
13
25
25
20
5
Walk
3
2
5
P(Drive to school | Sophomore ) = [? ]
Round to the nearest hundredth.

Answer 1

Answer:

$0.07$

Step-by-step explanation:

FORMULA :

$p\left( A|B\right) =\frac{p\left( A\cap B\right) }{p\left( B\right) }$

……………………………

then

$p\left( \text{drive to school} |sophomore\right) =\frac{p\left( \text{drive to school} \cap \text{sophomore} \right) }{p\left( \text{sophomore} \right) }$

                                $= \frac{2}{2+25+3}$

                                $=\frac{2}{30}$

                                $=\frac{1}{15}$

                                $=0.066666666667$