Question

1. The ________________________ of two events A and B is the event that consists of all the elements contained in A and B.
2. If A and B are mutually exclusive then A∩B = _________ and P(A∩B) = ________.
3. If A and B are independent, P(A∩B) = ____________________ (finish the formula).

4.  The law of large numbers says that if an experiment is repeated again and again, the         relative frequency probability will get closer to the _____________________________

5.  If the P(A\B) = 0.6 and P(A∩B) = 0.3, find P(B).

6.  If you roll a single fair die and count the number of dots on top, what is the probability of getting a number of at most 3 on a single throw?

7.  You roll two fair dice, a blue one and a yellow one. Each part has single probability.

1. Find P(odd number on the blue die and even on the yellow die).

     b)  Find P(even on the blue die and greater than 1 on the yellow die).

8.  An urn contains 12 balls identical in every respect except color.  There are 6 red balls, 4 green balls, and 2 blue balls. Each part has single probability.

     a)  You draw two balls from the urn, but replace the first ball before drawing the second.  Find the probability that the first ball is red and the second is green.

     b)  Repeat part (a), but do not replace the first ball before drawing the second.

9.  A computer package sale comes with four different choices of printers and five choices of monitors.  If a store wants to display each package combination that is for sale, how many packages must be displayed?   

10.  You have 100 parts in a box and 25 of them are bad.  What is the probability that:

            a)         the first part you draw will be bad?

            b)         the first part will be good?

            c)         if you draw two parts, both will be good?

Answer 1