Simulations to Estimate Probabilities — Unit test Answers

Walter is conducting an experiment using a spinner with 4 equal sections. Which number of trials will lead to experimental outcomes that are most similar to his predicted outcomes?

Latricia determines that the probability of spinning an even number and then a 3 on the spinner below is .Which best describes the accuracy of Latricia’s solution?

Use the information in the table to answer the question. Eitan and Asher are playing a game using two six-sided number cubes. To win the game, Eitan has to roll a sum of 11 or more. Which outcome would allow Asher to have a higher probability of winning the game? Select three options.

A set of cards contains the numbers 1 through 20. Mathieu chooses a card at random, records the number of the card, and then returns the card to the set. He conducts 200 trials of this event. Based on the theoretical probability, how many times can Mathieu expect to choose a multiple of 5?

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?

Maggie’s bank has assigned her a temporary 3-digit PIN to use with her ATM card. Each digit is a number from 1 to 5, inclusive, and no digit can be used more than once in the PIN. Which multiplication problem can be used to determine the probability that the PIN she was assigned was 123?

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?

Which describes dependent events?

Mark noticed that his bus is late to school 5% of the time. He wants to design a spinner he can use to simulate the situation and determine the probability that the bus will be late three times next week.How should Mark divide his spinner to best simulate the situation?

The table below shows the possible outcomes of rolling a six-sided number cube and flipping a coin.What is the probability of getting a number less than 3 and a tails?

Each section of a spinner is labeled with a unique number and is the same size and shape as the other sections. The spinner is spun two times. The number of possible outcomes is 16. How many sections is the spinner divided into?

Keisha has a bag that contains one red marble (r), one yellow marble (y), one green marble (g), and one orange marble (o). She makes the table below to show the different ways that she can choose two marbles—by first choosing one marble, replacing it, and then choosing another marble.What outcome is missing from Keisha’s table?

How many possible outcomes are there when Sharya spins the spinner shown below twice?

Josiah conducts an experiment that has 4 possible outcomes. Sally conducts an experiment that has 10 possible outcomes. The students conduct 50 trials each. Which statement best compares the two experiments?

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.CardsSuitObserved FrequencyClubs29Spades13Hearts15Diamonds23How does the experimental probability of choosing a heart compare with the theoretical probability of choosing a heart?