# Probability Marta Browning
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Of the 30 students in the sixth period math class, 8 are also in the same fourth period science class. Which can be used to determine the probability that if three students are chosen at random from the math class to do a group project, the first student chosen to be in the group is in the fourth period science class but the other two are not?

[8/30 22/29 21/28]
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A bag contains 1 red, 1 yellow, 1 blue, and 1 green marble. What is the probability of choosing a green marble, not replacing it, and then choosing a red marble?

1/12
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The table below shows all of the possible outcomes for rolling two six-sided number cubes.

36
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To win the game, Elena has to roll an even number first and a number less than 3 second. Her probability of winning is mr023-1.jpg.

rolling a sum of 6 rolling a sum of 2 or a sum of 9 rolling a sum that is greater than 2 but less than 5
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Xander spends most of his time with his 10 closest friends. He has known 4 of his 10 friends since kindergarten. If he is going to see a movie tonight with 3 of his 10 closest friends, what is the probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third is not?

not 1/30
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Jason rolls a fair number cube labeled 1 through 6, and then he flips a coin. What is the probability that he rolls a 3 and flips a head?

1/12
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The tree diagram below shows all of the outcomes for flipping 3 coins. Which outcome is represented by x?

heads on the first coin, heads on the second coin, and tails on the third coin
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A package contains 4 red, 2 green, 8 purple, and 6 blue jelly beans. What is the probability of choosing a purple jelly bean, eating it, and then choosing a blue jelly bean?

12/95
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Yuto has a bag containing 3 red marbles, 5 blue marbles, 2 green marbles, and 8 yellow marbles. Rin reaches into the bag, pulls out a blue marble, and puts it in her pocket. Then Misaki reaches in and pulls out a marble. What is the total number of possible outcomes for Misaki’s marble?

17
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Raj has a full deck of 52 cards. Sydney chooses the queen of clubs and holds onto it. Then Yolanda chooses a card. What is the total number of possible outcomes for Yolanda’s card?

13
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Josh used a standard deck of 52 cards to conduct an experiment. Half of the cards in the deck were red. The other half were black. Josh predicted that he would choose a red card in 4 out of 8 trials. When he conducted the experiment, he actually chose a red card 6 out of 8 times. Which explains the most likely reason for the discrepancy between Josh’s predicted and actual results?

He used too few trials for the sample space.
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A set of cards contains cards numbered 1 – 8. Mrs. Jacob’s class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. The class will conduct 1,000 trials. Based on the theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile?

125
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The theoretical probability of an event occurring is mc003-1.jpg. Which best describes the experimental probability associated with this event?

Out of every 5 trials, the desired outcome will occur approximately 2 times.
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Jonas is conducting an experiment using a 10-sided die. He determines that the theoretical probability of rolling a 3 is mc015-1.jpg. He rolls the die 20 times. Four of those rolls result in a 3. Which adjustment can Jonas make to his experiment so the theoretical and experimental probabilities are likely to be closer?

He can increase the number of trials.
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Mai conducted an experiment by flipping a fair coin 200 times. The coin landed heads up 110 times. Which statement about the coin landing heads up in Mai’s experiment is correct?

The experimental probability of the coin landing heads up is 11/20 and the theoretical probability of the coin landing heads up is 1/2
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Frederick designed an experiment in which he spun a spinner 20 times and recorded the results of each spin.

unknown lol
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Elijah is going to spin a spinner 180 times.

Elijah’s prediction is high because 180 x 1/4 = 45
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Four students each flip a coin multiple times and record the number of times the coin lands heads up. The results are shown in the table. Which student is most likely to find that the actual number of times his or her coin lands heads up most closely matches the predicted number of heads-up landings?

Collin
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James conducted an experiment with 4 possible outcomes. He determined that the experimental probability of event A happening is 10 out of 50. The theoretical probability of event A happening is 1 out of 4. Which action is most likely to cause the experimental probability and theoretical probabilities for each event in the experiment to become closer?

completing the experiment many more times and combining the results to the trials already done
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A bag contains 1 red tile, 1 blue tile, 1 green tile, 1 yellow tile, and 1 purple tile. Kaison chooses a tile from the bag, records its color, and then replaces the tile. She repeats this procedure a total of 50 times. Her results are shown in the table. How does the experimental probability of choosing a yellow tile compare with the theoretical probability of choosing a yellow tile?

The experimental probability is the same as the theoretical probability.
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A number cube was rolled as part of an experiment. The results are displayed in the table below.

To find the experimental probability of rolling a three, write a ratio of the total number of trials to the frequency of the number three. Simplify if necessary.
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Jason practiced making soccer goals and kept track of the results. He missed 3 goals but made 9 in one practice session. What can Jason predict regarding goals made if his next practice session has 24 tries?

not Jason will make 16 goals.
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The results of a color spinner experiment are shown in the table. Consider the experimental probability of the spinner landing on green. If the experiment is repeated with 50 spins, what is the prediction for the number of spins that will land on green?

300
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A soap factory randomly inspects 100 bars of soap to better identify problems that occur during the manufacturing process. The table below displays the possible problems and frequency for each. If the soap factory makes 5,000 bars of soap per day, how many of those bars would they expect to be broken?

They would expect 150 bars to be broken.
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During an experiment, a spinner landed on green 9 times, which resulted in an experimental probability of mc009-1.jpg. Mary said that there must have been 45 trials in the experiment. Why is Mary incorrect?

If there were 9 occurrences and 45 trials, the simplified experimental probability would be 1/5 not 1/6
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Lonnie threw 50 free throws and missed 16 of them. If Lonnie throws 75 free throws, what can be predicted about the number she will make successfully?

Lonnie will make 51 free throws.
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Sanja made a hole-in-one on the sixth hole of miniature golf 8 times and missed it 4 times. If Sanja attempts 24 more holes-in-one, how many should she expect to make successfully?

Sanja should make 16 holes-in-one.
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During an experiment, a spinner landed on red 6 times. If the resulting experimental probability of the spinner landing on red is mc008-1.jpg, how many trials were performed?

48
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A producer of electronic book readers is performing a quality check to ensure the reader’s backlight is working correctly. The plant manager tests 2,000 readers on Monday and finds that 8 have defective backlights. The fraction es024-1.jpg is the experimental probability of a book reader having a defective backlight. What is the value of x?

250
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A spinner is divided into 8 equal sections, and each section contains a number from 1 to 8. What is the probability of the spinner landing on 5?

1/8
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The spinner is divided into 8 equal sections.

P(gray), P(green)
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Margaret is playing a game with a standard deck of 52 cards which contains 4 jacks. The first player to select a jack gets to start the game. What is the theoretical probability that Margaret, when choosing first, will choose a jack?

1/13
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There are slips of paper that are numbered from 1 to 15 in a hat. What is the theoretical probability that a slip of paper that is chosen will be an even number?

not 8/15
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A box contains cards that are numbered from 1 to 100. What is the probability of randomly selecting a number that is less than 12?

11/100
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Maria has an 8-sided die that is numbered from 1 to 8. She rolls the die 96 times. About how many times can she expect to roll an 8?

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A spinner is divided into 8 equal sections, and each section contains a number from 1 to 8. What is the probability of the spinner landing on a number that is greater than 5?

3/8
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Mariah has a spinner that has 10 equal sections, each containing a different number from 1 to 10. Mariah determines about how many times the spinner will land on a number that is greater than 7 in 250 spins, and her work is shown below. What mistake did Mariah make, if any?

Mariah should have used a 3 in the numerator because there are 3 numbers greater than 7.
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A shape is picked at random from the group below. Which event has a theoretical probability of exactly 3/4? Check all that apply.

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A bag of marbles contains 6 blue marbles, 2 yellow marbles, 4 red marbles, and 1 green marble. What is the probability of reaching into the bag and selecting a yellow marble?

2/13
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What is the probability of the complement of rolling a number less than 5 by using a six-sided die?

2/5
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The probability of choosing a rotten apple from the bag of apples is mc004-1.jpg. Which term best describes this probability?

likely
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The probability of choosing an apple-flavored juice box out of the refrigerator without looking is 1. Which term best describes this probability?

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Kyle’s bowl of cereal has 5 blue marshmallows, 2 yellow marshmallows, 3 pink marshmallows, and 4 green marshmallows. If he picks one marshmallow at random, what is the probability that the marshmallow is green?

2/7
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A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.

choosing a blue, green, or yellow marble
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The probability of choosing a penny from the 1980s from the bag of pennies without looking is mc003-1.jpg. Which term best describes this probability?

unlikely
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If P(not yellow) = 14/15, which best describes the probability of the complement of the event?

P(yellow) = 11/15
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Which value cannot represent the probability of an event occurring?

3/2
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The probability of choosing a green grape out of the bag that contains red and green grapes without looking is 11/15. Which term best describes this probability?