Wetzel                                                                                                                                                                                                            

Math 120

Test #2

Reduce all fractions or round answers to three decimal places.  Please circle your answers.  Good luck!

For problems 1-5, write the word “true” if the statement is true or “false” if the statement is false in the space provided.

1.)      ________  Two events ARE mutually exclusive if they CANNOT happen at the same time.

2.)    ________  Two events are independent if the outcome of one event does NOT affect the outcome of the other event.

3.)    ________  If you flip a coin TWO times, the sample space is four.

4.)    ________  All of the following are possible probabilities: ,, 0, and .

5.)    ________  If you flip a coin FIVE times, the events flipping all heads and flipping at least one tail are complements.

6.)  a.)  Construct a tree diagram for flipping a coin 3 times.

b.)     State the sample size.

7.)  A player rolls a die 6 times and records the results of each roll below. 

                              { 4, 1, 3, 5, 4, 6 }

a.)       State the theoretical probability for rolling a 4.

b.)      State the empirical probability for rolling a 2.

The table below describes the number of each kind of M&M’s in a bowl.

Using the table, answer questions 8-14.

            8.)  Find the probability of randomly choosing one red M&M.

            9.)  Find the probability of randomly choosing one plain M&M.

            10.)  Find the probability of choosing a yellow M&M given it is peanut.

            11.)  Find the probability of choosing a green M&M or a peanut M&M.

            12.)  Rachel chooses one M&M, eats it, and then chooses another.  Find the probability she chose two blue M&Ms.

            13.)  Javaris does not like peanut M&Ms so he puts them back in the bowl when he chooses them.  Find the probability that he picks a peanut M&M three times in a row.

            14.)  Rebecca picks one M&M but wants it to be brown or yellow so it will match her outfit.  Find the probability she chooses a brown or a yellow M&M.

Answer the following questions.

15.)  A committee consisting of a president, secretary, and treasurer is being chosen from 13 people.  How many possible committees are there?

16.)       Determine how many different pizzas could be made if given the following choices, Size:  small, medium, large, or extra large,  Crust:  hand tossed, thin crust, stuffed crust, or deep crust, and any 2 of 15 possible toppings : (the 2 toppings must be different)

17.)  If a couple had four children together, what is the probability they had at least one boy?

18.)  On the first page of this test, there are 5 true or false questions.  If a student guessed the answer to each question, what is the probability the student guessed correctly on all five questions?

19.)  Forty people have shown up at the courthouse for jury duty.  If 12 people are randomly selected for a jury, how many possible juries could be formed?