Unit 3 Challenge 1-Probability

Unit 3 Challenge 1-Probability

A game involves a spinner that is evenly separated into four sections, as well an eight-sided die. To play the game, each player spins the spinner once and rolls the die once.

What is the number of individual outcomes from spinning and rolling one time?

 

The theoretical probability of an event is the number of desired outcomes divided by all possible outcomes.

What is the probability of drawing an ace from a shuffled standard deck of playing cards?

 

A box has 10 disks numbered 1 through 10. A disk is drawn at random 50 times with replacement. The disk numbered 7 was drawn 6 times.

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What is the relative frequency of getting the disk numbered 7 on the next draw?

 

Which of the following is true of BOTH discrete and continuous probability distributions?

Which of the following statements is true of a continuous probability distribution?

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The outcomes can take any value within a given range.

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The outcomes have a finite number of possibilities.

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The distribution can be described with a table.

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All outcomes can be listed.

 

 

Which statement is most likely to be true for tossing two coins simultaneously?

 

A spinner is divided into four equal areas and colored red, green, yellow, and blue.

Which statement is most likely to be true?

 

Which statement is most likely to be true upon rolling a standard die more than 100 times?

 

Which of the following statements is FALSE?

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Simulations enable you to approximate probability through experimental trials.

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All statements are false.

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Another name for simulations of probability is the Monte Carlo method.

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Sample sizes of 10 or less are generally representative in simulations.

 

 

Which of the following statements is true?

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Using a sample size of 20 or less can be representative in simulations.

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To achieve theoretical certainty, trials of chance should be repeated.

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Simulations utilize certain rules to get estimates closer to theoretical probability.

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Simulations are based on trials of chance that mimic real-life events.

 

 

Sarah plays a game in which she can purchase a ticket. Each ticket has several chances, or "catches," to win money.

The table below shows the probability of winning at each stage, and how much money the ticket can win at each catch. Every time Sarah plays the game, her ticket is played through each catch, which means she can win money at each stage.

 

The probability of randomly picking out an autobiography from a bookshelf is  .

What are the odds in favor of choosing an autobiography?