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

`0.07`

Explanation:

FORMULA :

`p\left( A|B\right) =(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) }`

`= (2)/(2+25+3)`

`=(2)/(30)`

`=(1)/(15)`

`=0.066666666667`