Test 1 EXTRA CREDIT
Name__________________
Math 108 section______
You must show work to receive Full credit!!!
Five people (Adam, Bill, Cathy, David, and Eve) form a club N = {A, B, C, D, E}.
In how many ways could they do each of the following?
1. line up all five members for a photograph
2. elect a President and Secretary (construct a product table to answer this-Label it!)
(Assume one person cannot hold both offices)
3. appoint a committee of two members
4. How many ways can a President, Vice President, and Secretary be selected in a club with 30
members ?
1
5. Determine the number of distinguishable arrangements of the letters of the word
NOMINEE.
6. A common form of poker involves hands (sets) of five cards each, dealt from a deck
consisting of 52 different cards. How many different 5-card hands are possible?
For the experiment of rolling a single fair die, find the probability of each event.
7. not less than 3
8. odd or less than 4
9. even and prime
10. When a single card is drawn from a standard 52-card deck, what is the probability that it
will be a king or queen? (10 points each) (Show your work step by step starting with symbolic
representation).
Is this mutually exclusive?
P(King or Queen) =
2
11. When a single card is drawn from a standard 52-card deck, what is the probability that it
will be a king or a diamond? (10 points each) (Show your work step by step starting with
symbolic representation).
Is this mutually exclusive?
P(King or Diamond) =
12. A bowl contains 3 blue marbles, 4 red marbles, and 2 green marbles. What are the odds in
favor of a green marble? (10 points each)
How many possible outcomes are there when
13.two fair dice are rolled
14. three fair dice are rolled.
3