IXL | Which simulation represents the situation?

Read the story.

Kendrick plays trivia once a week at Einstein Eats restaurant. His trivia team gets the correct answer half of the time. There are 12 questions in the first round tonight, and they need to answer at least 8 correctly to win a free dessert. How likely is it that his team will win a free dessert in the first round?

Which simulation could be used to fairly represent the situation?

Create a deck of 20 cards, each labeled with a different number from 1 to 20. Pick a card, then return it to the deck, 8 times. Each time an odd number appears, it represents answering a question correctly.

Roll a six-sided die 12 times. Each time a 6 appears, it represents answering a question correctly.

Use a computer to randomly generate 12 numbers from 1 to 20. Each time an even number appears, it represents answering a question correctly.

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question

Read the story.

Which simulation could be used to fairly represent the situation?

Use a computer to randomly generate 12 numbers from 1 to 20. Each time an even number appears, it represents answering a question correctly.

Roll a six-sided die 12 times. Each time a 6 appears, it represents answering a question correctly.

key idea

A simulation is an experiment that represents a real-world situation. A fair simulation has outcomes and probabilities that match that situation.

solution

Kendrick's team gets the correct answer half of the time. So, the probability that they answer a question correctly is

There are 12 questions in the first round. This is a fair simulation for the situation:

green checkmark, Use a computer to randomly generate 12 numbers from 1 to 20. Each time an even number appears, it represents answering a question correctly.

The computer can generate 20 numbers, 10 of which are even. The probability of answering a question correctly in this simulation is . The computer generates 12 numbers, one for each question.

These are not fair simulations for the situation:

red X symbol, Create a deck of 20 cards, each labeled with a different number from 1 to 20. Pick a card, then return it to the deck, 8 times. Each time an odd number appears, it represents answering a question correctly.

A card is picked 8 times. But there are 12 questions in the first round.

red X symbol, Roll a six-sided die 12 times. Each time a 6 appears, it represents answering a question correctly.

The die is labeled with 6 numbers, 1 of which is 6. The probability of answering a question correctly in this simulation is , not .

Looking for more? Try these:

Lesson: Probability

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Time
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II.2Probability of simple events

II.5Experimental probability

Lesson: Probability

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