You must show all work on your paper to receive any credit for this problem!    Box 1 contains 2 black balls and 3 white balls. Box 2 contains 3 black balls and 4 white balls. A ball is drawn at random from Box 1, the color is recorded and the ball is then placed in Box 2.  Then a ball is drawn at random from Box 2 and the color recorded.   a.  Draw a complete tree diagram of this experiment.  Include probabilities along branch lines. b.  List all possible outcomes of the recordings of the colors of both balls ALONG WITH their probabilities.

The standard configuration for an Alaska license plate is 3 letters followed by 4 digits. How many different  license plates are possible if letters can be repeated, but digits cannot be repeated? 

The standard configuration for an Alaska license plate is 4 letters followed by 3 digits. How many different  license plates are possible if letters cannot be repeated, but digits can be repeated? 

 Examine the spinner to the right. a.  Is this spinner equally likely?  Answer yes or no.   [a]  Answer as a fraction in lowest terms. b.  What is the probability of landing on red in a single spin? [b]  Answer as a fraction in lowest terms. c.  What is the probability of landing on blue or purple in a single spin? [c]  Answer as a fraction in lowest terms. d.  If you land on green on the first spin, what is the probability of landing on green on the next spin? [d]  Answer as a fraction in lowest terms.

You must show all work on your paper to receive any credit for this problem!    Box 1 contains 2 black balls and 4 white balls. Box 2 contains 2 black balls and 1 white ball. A ball is drawn at random from Box 1, the color is recorded and the ball is then placed in Box 2.  Then a ball is drawn at random from Box 2 and the color recorded.   a.  Draw a complete tree diagram of this experiment.  Include probabilities along branch lines. b.  List all possible outcomes of the recordings of the colors of both balls ALONG WITH their probabilities.

How many ways can we award a Gold, Silver and Bronze medals to the 18 athletes competing in the Archery event at the Olympics in China?

If 15 runners are in a race, how many possible ways are there to award 1st, 2nd, and 3rd place trophies?

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