IXL | Which simulation represents the situation?

Read the story.

Tanvi received a large box of chocolates for Valentine's Day, and about 30% of the chocolates have a caramel filling. Tanvi took out 2 to eat for dessert. How likely is it that at least 1 has a caramel filling?

Which simulation could be used to fairly represent the situation?

Roll a six-sided die 2 times. Each time a 5 or 6 appears, it represents a chocolate with a caramel filling.

Create a spinner with 10 equal sections. Color 3 sections white and the remaining sections red. Spin the spinner 2 times. Each time the spinner lands on a white section, it represents a chocolate with a caramel filling.

Flip a pair of coins 30 times. Each time the coins both land on heads, it represents a chocolate with a caramel filling.

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Learn with an example

question

Read the story.

Trevor works at the Guac and Roll burrito shop. The shop is known for its guacamole, so customers order an extra side of it 75% of the time. There are 8 customers in line. How likely is it that at least 6 of the customers will order an extra side of guacamole?

Which simulation could be used to fairly represent the situation?

Put 1 black stone and 3 green stones in a bag. Pick a stone, then return it to the bag, 8 times. Each time a green stone appears, it represents a customer ordering an extra side of guacamole.

Use a computer to randomly generate 6 numbers from 1 to 4. Each time a 1, 2, or 3 appears, it represents a customer ordering an extra side of guacamole.

Roll a six-sided die 8 times. Each time an odd number appears, it represents a customer ordering an extra side of guacamole.

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

A customer orders a side of guacamole 75%, or

of the time. There are 8 customers in line. This is a fair simulation for the situation:

green checkmark, Put 1 black stone and 3 green stones in a bag. Pick a stone, then return it to the bag, 8 times. Each time a green stone appears, it represents a customer ordering an extra side of guacamole.

There are 4 stones in the bag, 3 of which are green. The probability of a customer ordering an extra side of guacamole in this simulation is . A stone is picked 8 times, once for each customer.

These are not fair simulations for the situation:

red X symbol, Use a computer to randomly generate 6 numbers from 1 to 4. Each time a 1, 2, or 3 appears, it represents a customer ordering an extra side of guacamole.

The computer generates 6 numbers. But there are 8 customers in line.

red X symbol, Roll a six-sided die 8 times. Each time an odd number appears, it represents a customer ordering an extra side of guacamole.

The die is labeled with 6 numbers, 3 of which are odd. The probability of a customer ordering an extra side of guacamole in this simulation is , not .

Looking for more? Try these:

Lesson: Probability

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II.2Probability of simple events

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