a survey of the 12th - grade students at gaffigan high school found that 84% of the seniors have their…

a survey of the 12th - grade students at gaffigan high school found that 84% of the seniors have their drivers licenses, 16% of seniors take the bus every day to school, and 14% of the seniors have drivers 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 drivers license? 17% 19% 36% 70%

a survey of the 12th - grade students at gaffigan high school found that 84% of the seniors have their drivers licenses, 16% of seniors take the bus every day to school, and 14% of the seniors have drivers 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 drivers license? 17% 19% 36% 70%

Answer

Answer:

17%

Explanation:

Step1: Recall conditional - probability formula

$P(A|B)=\frac{P(A\cap B)}{P(B)}$ Let $A$ be the event that a senior takes the bus to school every day and $B$ be the event that a senior has a driver's license. We are given that $P(B) = 84%=0.84$ and $P(A\cap B)=14% = 0.14$.

Step2: Calculate the conditional probability

$P(A|B)=\frac{0.14}{0.84}\approx0.1667$.

Step3: Convert to percentage and round

$0.1667\times100% = 16.67%\approx17%$.