A pair of fair dice is rolled. Let E denote the event that the number falling uppermost on the…

A pair of fair dice is rolled. Let E denote the event that the number falling uppermost on the first die is 5, and let F denote the event that the sum of the numbers falling uppermost is 10. a. Compute P(F).              b. Compute P(E ∩ F).                      c. Compute P(F | E).                       … Continue reading "A pair of fair dice is rolled. Let E denote the event that the number falling uppermost on the…"

Two cards are drawn without replacement from a wellshuffled deck of 52 playing cards. a. What is…

Two cards are drawn without replacement from a wellshuffled deck of 52 playing cards. a. What is the probability that the first card drawn is a heart? b. What is the probability that the second card drawn is a heart if the first card drawn was not a heart? c. What is the probability that … Continue reading "Two cards are drawn without replacement from a wellshuffled deck of 52 playing cards. a. What is…"

AUDITING TAX RETURNS A tax specialist has estimated that the probability that a tax return…

AUDITING TAX RETURNS A tax specialist has estimated that the probability that a tax return selected at random will be audited is .02. Furthermore, he estimates that the probability that an audited return will result in additional assessments being levied on the taxpayer is .60. What is the probability that a tax return selected at … Continue reading "AUDITING TAX RETURNS A tax specialist has estimated that the probability that a tax return…"

STUDENT ENROLLMENT At a certain medical school, of the students are from a minority group. Of…

STUDENT ENROLLMENT At a certain medical school, of the students are from a minority group. Of those students who belong to a minority group, are black. a. What is the probability that a student selected at random from this medical school is black? b. What is the probability that a student selected at random from … Continue reading "STUDENT ENROLLMENT At a certain medical school, of the students are from a minority group. Of…"