Asurvey of the 12th grade students at gaffigan high school found that 84% of the seniors have their driver’s licenses, 16% of seniors take the bus every day to school, and 14% of the seniors have driver’s licenses and take the bus to school every day. to the nearest whole percent, what is the probability that a senior takes the bus to school every day, given that he or she has a driver’s license?

Answer

12%

Explanation

Let the n represent the number of seniors.

84% of x = 0.84x  ⇒ have their drivers license

16% of x = 0.16x   ⇒  Take the bus to school

14% of x = 0.14x   ⇒  have drivers license and take bus to school.

The probability that a senior takes the bus to school every day, given that he or she has a driver’s license will be;

(0.14x)/(0.84x + 0.16x + 0.14x) = (0.14x)/(1.14x)

                                                 = 0.1228

In percentage;

0.1228 = 0.1228 × 100%

           = 12.28%

To the nearest whole percent, answer = 12%