A bin contains six marbles:  1 Red, 2 Blue and 3 Green.  Two marbles are randomly selected without replacement.  Examine the tree diagram and answer the following questions. a.  What is the probability both marbles are blue? [a]  Answer as a fraction in lowest terms. b.  What is the probability that the second marble chosen is red? [b]  Answer as a fraction in lowest terms. c.  What is the probability that both marbles are the same color? [c]  Answer as a fraction in lowest terms. d.  If the first marble chosen is green, what is the probability that the second marble chosen will be green? [d]  Answer as a fraction in lowest terms. e.  What is the probability of choosing at least 1 blue marble? [e]  Answer as a fraction in lowest terms.  

Suppose 4 ​quarters, 6 ​dimes, 7 ​nickels, and 4 pennies are in a box. One coin is selected at random. What is the expected value of the money drawn from the​ box? HINT:  Use 25 to represent a quarter (not 0.25).  Do the same for the other coins. [A]  ¢  Round to the nearest tenth of a cent

How many ways can you rearrange the letters in the word?   E X C E L L E N T

EXTRA CREDIT                                                    4 POINTS You purchase a raffle ticket to help out a charity. The raffle ticket costs $7. The charity is selling 3000 tickets. One of them will be drawn and the person holding the ticket will be given $4000. a.  Compute the expected value for this raffle.   NO WORK = NO POINTS b.  Explain WHY this is or is not Fair game based upon your work from part a.

A collector has 11 paintings.  How many ways can she choose 3 paintings to donate to the local museum?

Rewrite in standard form: Seven hundred and ninety-four ten-thousandths

The following image represents what decimal?

All 37 of the students in a mathematics class attended class on Monday. On Tuesday only 29 students attended. What was the percent of decrease? [a]%    Round the nearest tenth of a percent

How much money will there be in an account at the end of 4 years if ​$8000 is deposited at 6.7​%  simple interest? ​(Assume no withdrawals are​ made.)    Complete the following: a.  Write the formula that you intend to use on your paper. b.  Fill the numbers as needed from the question. c.  Type your answer.  Round to the nearest cent.   

Keanu’s salary has increased each year by  18% of his salary the previous year.  Keanu’s present salary is $30,870.65. a.  What is Keanu’s salary next year? $[a]  Round answers to the nearest cent  b.  What was Keanu’s salary last year? $[b]  Round answers to the nearest cent