Vocabulary
Describe
Compare
Relative Frequency
Miscellaneous
100
Fill in the blank:
The ratio of the number of favorable outcomes to the number of possible outcomes is the ______________.
probability
100
A jar contains 3 green marbles, 6 yellow marbles, 8 red marbles, and 1 gold marble. What is the best description
of the likelihood of randomly selecting a blue marble from the jar?
Impossible
100
A bag contains seven tiles labeled A,B,C,D,E,F, and G. One tile will be randomly picked.
What is the probability of picking a vowel?
Write your answer as a fraction in simplest form.
2/7
100
A spinner with 8 equal sections labeled 1 through 8 is spun 400 times. How many times can you expect to spin a red? Explain or show work
100 times,
because 2/8 = ¼ and 4 times 100 is 400
100
The table shows the number of each type of snack bag that was sold this month at lunch.
The school makes $0.75 profit on each bag sold and expects to sell 1,200 bags next month. Based on last month’s results, how much profit can the school expect to make on potato chips next month? Must show work
$382.50
200
Fill in the blank:
An event consisting of two or more simple events is a ______________.
Compound event
200
What is the likelihood of landing on orange? Explain
Unlikely because it’s ⅜
200
Consider the sample space when 2 dice are rolled.
What is the probability of the sum of the numbers on the dice is less than or equal to 6.
Write your answer as simplified fraction.
5/12
200
A store offers discounts in the form of scratch-off cards to every customer. The store states there is a 12% chance of a customer receiving a 40% discount. If 150 customers receive scratch-off cards, how many customers might get a 40% discount?
18 customers
.12 * 150 = 18
200
The lunchroom has custom fruit parfaits. There is a choice of plain or strawberry yogurt, and bananas or apple slices for fruit. Lastly, it can be topped with crunchy oats or not. Using an organized list to determine the sample space of possible outcomes?
Use these short abbreviation when making the list:
plain (p), strawberry (s), banana (b), apple (a), crunchy oats (c), not crunchy (n)
S = {pbc, pbn, pac, pan, sbc, sbn, sac, san}
300
Fill in the blank:
The __________________ is a ratio that compares the frequency of each category level.
Relative frequency
300
What is the likelihood of landing on apple, banana, or grape? Explain
Likely because it’s 5/8
300
The table shows the number of each color pen in a teacher’s desk drawer. Suppose she selects a pen at random from the drawer. How much GREATER is the theoretical probability of selecting a black pen than selecting a red or green pen? Express your answer as a percent. Show your work
P(black) = 45%
P(red or green) = 25%
45 - 25 = 20%
300
Marisa states there is a 72% chance that a randomly selected song in her playlist is a pop song. If 350 songs are randomly selected, how many of the songs are likely to be pop songs?
252 pop songs
0.72 * 350
300
There is a 9% chance of receiving a prize in a cereal box. The table shows the results of 20 trials of a simulation to estimate the probability of receiving a prize in a cereal box. A " P " represents receiving a prize and an " N " represents not receiving a prize.
According to the results of the simulation, what is the experimental probability of receiving a prize? Express your answer as a percent.
6/20 = 30%
400
Fill in the blank:
The __________________ is based on what actually occurred during an experiment.
Experimental probability
400
The likelihood of the marble being a single color is _________. Explain
Certain because all of them is a color
400
Compare the theoretical and experimental probability of the spinner landing on gray.
For example: Theoretical is ________ than experimental. (Must show reasoning)
Theoretical: ⅖ = 16/40 = 40%
Experimental: 17/40 = 42.5%
So, theoretical is less than experimental but very close.
400
A baseball team hits 14 home runs in 6 games. What would you predict to be the number of homeruns hit in 24 games? (must show work)
56
400
The spinner below shows 10 equally sized slices. Linda spun the dial 200 times and got the following results.
Is the theoretical probability of spinning grey a good predictor of the experimental probability of spinning gray? Explain
Theoretical: P(gray)= 3/10 = 30%
Experimental: P(gray) = 73/200 = 36.5%
Since the difference is 6.5%, it is a good predictor
500
Fill in the blank:
The ___________ of an event describes the chance of an event occurring using terms such as: impossible, less likely, equally likely, likely or certain.
likelihood
500
Brian gets to spin the spinner to win a prize. Each slice shows the prize he will win if the spinner lands on it. The slices are all the same size.
List the prizes from least likely to most likely that Brian will win them.
Gum (⅛), Cap (¼), Ring (⅝)
500
A bag has seven square tiles with the letters O U T S I D E. A tile is randomly drawn from the bag. At the same time a coin is tossed. What is the probability of drawing a vowel and the coin landing on heads? Express your answer as a fraction in simplest form. (must show work)
4/14 = 2/7
500
A box of pens contains either purple, red, blue, yellow, orange, or green pens. The box says that there is a 15% possibility that it contains orange pens. If a store buys 180 boxes of pens, how many of them will have orange pens? (must show work)
27
500
A coin is flipped three times. An outcome is represented by a string of the sort HTT (meaning an Head on the first flip, a tail on the second flip, and a tail on the third flip).
List the sample space
Find the probability of flipping at least 2 Heads
S = {HHT, HHH, HTH, HTT, THT, THH, TTH, TTT}
P(at least 2 Heads) = 4/8 = 0.5