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15 questions
Catherine has a 6-sided number cube that is numbered from 1 through 6. She plans on rolling the number cube 60 times. About how many times should she expect to roll a number that is greater than 4?
10
15
20
40
Over the past year, Becky has enjoyed 7 of the 9 movies recommended by her local newspaper. She wants to design a spinner she can use to simulate this situation and predict the probability that she will enjoy each of the next 5 movies the paper recommends.
How should Becky divide her spinner to best simulate this situation?
2 equal-sized sections
5 equal-sized sections
7 equal-sized sections
9 equal-sized sections
Byron bought a keyless entry door lock that has the digits 0 through 9 on the keypad. He wants to choose a three-digit entry code. How many different combinations are possible, if the digits can be repeated?
27
30
729
1,000
Jamaal knows that it is certain that he will win the election because he is the only person who is running for class treasurer. Which value represents the probability that he will win the election?
0
1/4
3/4
1
Which statements about experimental probability are true? Select three options.
Experimental probability has the total number of trials in the numerator and the number of times an event occurs in the denominator.
Experimental probability is the same as theoretical probability.
An experiment to determine probability will include a number of trials.
A probability experiment will count the number of times an event occurs.
Experimental probability can be written in the form of a ratio.
A cube is numbered 1 through 6. If the cube is rolled twice, how many of the possible outcomes will have two even numbers?
3
9
18
36
Which value cannot represent the probability of an event occurring?
0.01
2/85
62.5%
1.1
Viktoria knows that it is impossible to remove a red marble from her bag that has no red marbles in it. If she reaches into the bag and pulls out a marble without looking, what is the probability that the marble will be red?
0
1/11
3/4
1
A standard deck of 52 cards contains four suits: clubs, spades, hearts, and diamonds. Each deck contains an equal number of cards in each suit. Rochelle chooses a card from the deck, records the suit, and replaces the card. Her results are shown in the table.
How does the experimental probability of choosing a heart compare with the theoretical probability of choosing a heart?
The theoretical probability of choosing a heart is greater than the experimental probability of choosing a heart.
The experimental probability of choosing a heart is greater than the theoretical probability of choosing a heart.
The theoretical probability of choosing a heart is greater than the experimental probability of choosing a heart.
The experimental probability of choosing a heart is greater than the theoretical probability of choosing a heart.
A jar contains only one blue tile, one green tile, one red tile, and one yellow tile. If a tile is chosen at random and then replaced in the jar, and then a second tile is chosen at random, how many of the possible outcomes contain at least one red tile?
1
2
4
7
Kiesha’s quality-control manager told her she must have 97% of her clocks functioning properly. She found a report that said 6 out of 300 clocks tested were not working properly. Kiesha predicts that she will have enough working clocks to please the manager. Which statements are true about Kiesha’s prediction? Select three options.
Kiesha’s experimental probability is 1/30.
Kiesha will have more than 97% of the products working.
Kiesha will not meet 97% because more than 3% of her clocks will be broken.
Kiesha’s experimental probability is 1/50.
When the inventory is 4000 clocks, the prediction is that 3920 clocks will work.
Jordan is using a six-sided number cube to predict whether people shopping in the mall arrive by car or by bus. Based on data gathered in a survey, Jordan decided that a roll of 1 or 2 would represent a person having taken the bus, while any other outcome would represent arriving by car.
Which statement best describes Jordan’s simulation?
As Jordan conducts more trials, the percent of people predicted to take the bus will approach 17%.
As Jordan conducts more trials, the percent of people predicted to take the bus will approach 33%.
As Jordan conducts more trials, the percent of people predicted to take the bus will approach 50%.
As Jordan conducts more trials, the percent of people predicted to take the bus will approach 100%.
Which event has a probability other than 1/2?
flipping a coin with the result of tails
choosing a vowel from a bag of tiles that contains one of each letter of the alphabet
rolling an even number on a number cube that is numbered from 1 to 6
choosing a red card from a standard deck of cards (a standard deck has 52 cards 26 of which are red)
To win the game, Eitan has to roll a sum of 11 or more using two six-sided number cubes.
Asher has a better probability of winning than Eitan has. Which could be the outcome that Asher needs to win the game? Select three options.
rolling a sum of 4
rolling sum of 9
rolling a sum that is less than 5
rolling a sum that is greater than 5 but less than 7
rolling a sum that is greater than 9 but less than 11
The spinner is divided into 8 equal sections.
What is the probability of spinning blue or green?
1/8
3/8
1/2
5/8
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