1.Use the given values to find the following. (Enter your answers as fractions.)

P(A) =0.5,P(B) =0.5,P(AB) =0.3

(a)P(AgivenB)

(b)P(BgivenA)

2.Use the given value to find the following. (Enter your answers as fractions.)

P(A) =0.4,P(B) =0.5,P(AB) =0.6

(a)P(AgivenB)

(b)P(BgivenA)

3.A box contains4white,3red, and5black marbles. One marble is chosen at random, and it is not black. Find the probability that it is white. (Enter your answer as a fraction.)_______________

4.Suppose that60%of drivers are "careful" and40%are "reckless." Suppose further that a careful driver has a0.2probability of being in an accident in a given year, while for a reckless driver the probability is0.4. What is the probability that a randomly selected driver will have an accident within a year? (Enter your answer to two decimal places.)___________

5.Two students are registered for the same class and attend independently of each other, student A70%of the time and student B60%of the time. The teacher remembers that on a given day at least one of them is in class. What is the probability that student A was in class that day? (Round your answer to three decimal places.)______________

6.For the experiment of tossing a coin twice, find whether events

A: heads on the first toss

B: different results on the two tosses

are independent or dependent.

• independent
• dependent

7.Fourdice are rolled.

(a) Find the probability of getting all sixes. (Enter your answer as a fraction.)

(b) Find the probability of getting all the same outcomes. (Enter your answer as a fraction.)

(c) Find the probability of getting all different outcomes. (Enter your answer as a fraction.)