Of 100 students randomly sampled, 40 are female and 60 are male. A fourth of the females say yes when asked if they have ever driven more than 90 miles/hour, the others say no. But two-thirds of the males say they have and only one-third say no. (Hint: Make a table before answering the questions.)
A) What is the probability that a student chosen at random will say yes to the question?
B) What is the probability that the student is female, given that the student says yes?
C) What is the probability that the student says yes and is female?
D) What is the probability that the student says yes or the student is female (or both)?

Question

Quizplus · Accepted Answer

The Answer of Of 100 students randomly sampled, 40 are female and 60 are male. A fourth of the females say yes when asked if they have ever driven more than 90 miles/hour, the others say no. But two-thirds of the males say they have and only one-third say no. (Hint: Make a table before answering the questions.)
A) What is the probability that a student chosen at random will say yes to the question?
B) What is the probability that the student is female, given that the student says yes?
C) What is the probability that the student says yes and is female?
D) What is the probability that the student says yes or the student is female (or both)?

Of 100 Students Randomly Sampled, 40 Are Female and 60