Wetzel                                                                                                            

Math 122

Test #4

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

      7.)  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?

8.)  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 9-15.

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

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

            11.)  Find the probability of choosing a green M&M given it is peanut.

            12.)  Find the probability of choosing a red M&M or a peanut M&M.

            13.)  Cedric chooses one M&M, eats it, and then chooses another.  Find the probability he chose two blue M&Ms.

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

            15.)  Hayley 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.