Chapter 4 TestPage 1
Name: ______Block: ____
Prob & Stat
Ch 4 Test
Directions: show ALL your work!! SIMPLIFY YOUR FRACTIONS!
1)Compute the following:
a) b) c)
2)You are voting for class officers. The ballot is displayed below
Circle your choice for each office:
President:
a) Ima Idiotb) Ura Moron c)Mr. Arnold
Vice President:
a) Seemore Butts b)Willie Wonka
Treasurer:
a) Priscilla Yanowitz b) Natasha Smith
Secretary:
a) John Doe
How many outcomes are possible for this election?
3)We are having a class raffle. Mr. Arnold sells raffle tickets to all 32 students in class, and there is a drawing for the following prizes:
1st Prize:A small paperclip
2nd Prize: A blue dry-erase marker
3rd Prize:A red overhead marker
How many different ways could the prizes be awarded?
4)You are going on a Spring Break trip. Ten of your friends want to go, but you can only take four people. How many possible ways could you choose a traveling party?
5)You have decided not to study for the Prob & Stats final. The test is composed of 10 multiple choice questions that each have 4 possible answers. If randomly select answers to all questions,
a. How many ways could you fill out the test?
b. How many ways can you make 100%?
- What is the probability that you will score 100%?
6)You roll asingle die. Calculate the following probabilities:
- P(5) =d. P(odd OR multiple of 3) =
- P(not 5) =e. P(even & multiple of 3) =
- P(even) =f. P(even & odd) =
7)You draw a single card from a standard deck (52 cards). Calculate the following probabilities
a. P(Face Card) =d. P(Diamond) =
- P(Black) =e. P(not Five) =
- P(Face OR Black) =f. P(Five OR Three) =
8)You draw one card, look at it, and replace it & shuffle. Then you draw a second card. Calculate the following probabilities:
- P(King, Queen) =c. P(Spade, Diamond) =
- P(King, King) =d. P(Spade, 2) =
9)You draw one card, look at it, and eat it. Then you draw a second card. Calculate the following probabilities:
- P(King, Ace) =c. P(Diamond, Diamond) =
- P(Ace, Ace) =d. P(Spade, Diamond) =
e. What is the probability that you do NOT get two Diamonds?
10) The following table displays the makeup of your class.
Freshmen(F) / Sophomores
(S) / Juniors
(J) / Seniors
(Sr)
Girls / 7 / 5 / 1 / 2
Boys / 4 / 7 / 3 / 1
A student is selected at random from your class. Calculate the following probabilities:
a) P(F) = d) P(S OR J) =
b) P(G) =e) P(J & G) =
c) P(F OR G) =f) P(S & Sr) =
11) You roll a die 4 times in a row. (hint: are these “and” or “or” problems?)
a) What is the probability that you get 4 sixes?
b) What is the probability that you get 4 even numbers?
c) What is the probability that you get no sixes?
12) You perform an experiment where you first toss a coin and then roll a die. Draw a tree diagram to display the possibilities. List the possible outcomes. Then, find the probability below.
a)Treeb)Outcomes
c) P(T, even number) = ______d)P(H or odd number) = ______
13) How many times would you expect to roll a 3 if you roll a single die:
a) 6 times
b) 72 times
c) 100 times
d) 432 times
14) How many times would you expect to roll a 4 or a 6 if you roll a single die:
a) 6 times
b) 24 times
c) 100 times
d) 168 times
15) Fruity Pebbles is teaming up with the movie Batman Begins and is giving an action figure away in every box. There are 4 different versions of the Caped Crusader. How many boxes of Fruity Pebbles should I buy if I want to be pretty sure that I get one of each action figure?
BONUS: You draw two cards at random. What is the probability that you get a 21? (one of the two cards is an ace & the other is a 10, jack, queen, or king)
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