Name _______________________________
Probability Exam Review Sheet
Date _____ Class _____
Mr. Lynch
*** Go over the notes you took during class and old quizzes!
*** Convert all fractions to decimals (on test)!
1) If the probability of an event occurring is 1/17. What is the probability of the event not
occurring?
2) A bag of marbles has 7 blue marbles and 9 green marbles. What is the probability of getting
no blue marbles?
3) If the probability of an event is p, what is the probability that the event will not occur?
4) If a letter is chosen at random from the word "DICTIONARY", what is the probability of
selecting an "I"?
5) The probability of an event occurring is 0.36. What is the probability of the event not
occurring?
6) If a card is drawn at random from a standard deck of 52 cards, what is the probability of
selecting a red 9? (Reduce to lowest terms if possible!)
7) If a card is drawn at random from a standard deck of 52 cards, what is the probability of
selecting a picture card? (Reduce to lowest terms if possible!)
8) You roll a fair die. What is the probability of getting an even number?
9) You toss a fair coin. What is the probability of getting a tail?
10) If an event will definitely not occur. What is the probability of this event?
11) You select a card at random from a standard deck of cards. After you select the 1st card, you
replace the card and select another. Find the probability of selecting an ace and a 5.
12) You select a card at random from a standard deck of cards. After you select the 1st card, you
do not replace the card and select another. Find the probability of selecting a king and a jack.
13) Evaluate each of the following:
a) 6!
b) 8!/3!
c) 10!/2!2!2! d) 10P6
e) 7C5
14) Hassett wants to download music illegally on Limewire. Hassett will choose between 3 rap
artists (Soulja Boy, 50 Cent, Lil’ Wayne), 4 boy band albums (NKOTB, Backstreet, N'Sync, 98°)
and 3 metal albums (Metallica, ACDC, & Black Sabbath). Construct a tree diagram to display
all possible outcomes. Find:
a) P(ACDC) b) P(Lil’ Wayne & 98°)
c) P(50 Cent or ACDC)
d) P(I Make it Rain)
15) Stackpole has to choose an outfit for the upcoming Freshmen Winter Mingle. He has a
choice of 5 pairs of pants, 3 sneakers, and 6 hats. How many possible outfits can Stackpole
wear?
16) Find the number of permutations of each of the following:
a) REVIEW
b) EXAMINATION
c) STATISTICS
17) Lizbeth selects players for her team. She pays no attention to the positions individuals will
play while making the first selection. Of 14 candidates, Lizbeth needs 11 for her team. How
many teams can be formed?
18) A lottery ticket contains a four-digit number. How many possible four-digit numbers are
there when a digit may only appear once in the number?
19) Define as CRV or DRV:
a) Time it takes to get to school.
b) Number of people in this class.
c) Distance from here to Cherry Valley.
20) The army gives a battery of tests to all new recruits. One exam measures a person’s ability
to work with technical machinery. This exam was given to a random sample of 360 new
recruits. The results are shown below, where x = score on a ten point scale and f = frequency of
new recruits with this score.
x
f
1
28
2
42
3
79
4
83
5
51
6
36
7
18
8
12
9
7
10
4
a) If a person is chosen at random from those taking the test, use the relative
frequency of test scores to estimate P(x) as x goes from 1 to 10.
b) Use a histogram to graph the probability distribution of part a.
c) The ground-to-air missile battalion needs people with a score of seven or
higher on the exam. What is the probability that a new recruit will meet the
requirement?
d) The kitchen battalion can use people with a three or less. What is the
probability that a new recruit is not overqualified for this work?
e) What is the expected value?
the standard deviation?
variance?