1. Suppose a sample space has things a, b, and c. Twice, draw from the sample space and replace. The possible sequences formed are {aa, ab, ac, ba, bb, bc, ca, cb, cc}.

Now suppose there areY different things.There are Y ways the first draw can occur. For each of the Y ways the first draw can occur, there are Y ways the second draw can occur, resulting in Y times Y, or Y²sequences. For each of the Y²sequences formed from 2 draws, there are Y ways the 3rd draw can occur forming Y³sequences. Generalizing, there are Y^Xsequences formed by drawing X times from Y different things with replacement.

Example:The number of state license plates that can be made with 3 letters followed by 3 numbers is26 x 26 x 26 x 10 x 10 x 10 = 26³x 10³= 17,576,000. From this one style of plate,there are many sequences.

How many sequences of 5 things can be formed from 7 different things with replacement and order is important?

2.. If you toss a die twice, what is the probability that the total is none of {4, 6, 9}?

Question options:

3/26

29/36

None of the other answers are correct

24/36

3.. The probability that you will throw boxcars (two 6's) with one throw using 2 dice is

Question options:

A)

None of the other answers are correct

B)

0.330

C)

0.170

D)

0.028

4..Given a survivor of the Titanic is a man, what is the probability, rounded to the nearest whole percent, the survivor was a second class passenger based onTitanic survival data.

Question options:

6%

None of the answers are correct

5%

10%

4%