Download Name: Probability/Combinations Permutations Quiz Review 2

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Probability/Combinations
Permutations Quiz Review 2
1.) Calculate the following probabilities given the diagram to the right.
a.) P(Spades and Jack)
b.)P(Hearts or 7)
c.)P(Red or spade)
d.)P(black or queen)
e.)P(Red or 8)
f.)P(Diamond or 3)
2.)You have 16 numbered tiles in a bag. Determine the following probabilities.
a.) P(even and greater than 10)
b.)P(even or greater than 10)
c.)P(odd or less than 8)
3.)Describe the difference between independent and dependent events. Give an example of each.
4.)You take a random sample of 30 students at NPA. 20 prefer pizza, 8 prefer Chinese Food and 2 prefer
sandwich wraps. Answer the following.
a.) P(prefer pizza)
b.)P(prefer Chinese Food)
c.)P(prefer NOT wraps)
d.)If there are 630 students at NPA, how many are likely to prefer pizza, how many prefer Chinese food, and how
many prefer Wraps?
e.)How can you check to make sure your answers are reasonable?
5.)Determine the following probabilities given that you have 4 blue, 3red and 1 green block in a bag. “W/R”
means with replacement, and “W/O” means without.
a.)P(B then G) WR
b.)P(B then G) WO
c.)P(B then B) WR
d.) P(B then B) WO
6.) There are 10 players on a baseball team, but only 5 are on the court at any one time. Your little brother is
trying to be cool and names off 5 of the players on the team. What is the likelihood that he guessed the exact
group of 5 players playing at that time. Don’t worry about the position they are playing.
7.)Tom needs to get groceries, stop at the bank and get his oil changed. He has 4 choices of grocery stores, 8
choices of banks and 2 choices of where to get his oil changed. How many different options does he have as to
how to take care of all of his needs?
8.)Klima is trying to answer a question related to the number of possible outfits given 3 choices for shoes, 5 for
pants and 4 for shirts. He states that the situation can be modeled by 12C3 because he has 12 choices and he
needs to pick 3 items. Why is he incorrect?
9.) You are rolling a 10 sided die, flipping a coin and spinning a spinner with 4 equally sized sections (red,blue,
green and pink). What is the following probability?
P(6 and heads and Blue)
10.)You are given a 5 multiple choice question quiz. Unfortunately, it is in Chinese so you can’t read any of it. If
each question has choices A,B,C and D then what is the probability that you will get every one of them correct
just by guessing?
11.)Determine the number of possible 4 digit passwords with the following requirements.
a.)Repetition is allowed.
b.)Repetition is not allowed.
c.)the second number must be a 2,5,or 7
and repetition is “OK”
d.) the second number must be a 2,5,or 7
the last number has to be a 4 and
and repetition is not allowed.
e.)The second number is a 2,4,or 8 and the remaining
numbers can be repeated but only with the numbers
that haven’t been used.