Probability and Multiple Tries

Front

What is probability?

Back

Probability is a measure of how likely an event is to occur, expressed as a number between 0 and 1, where 0 means the event will not happen and 1 means it will definitely happen.

Front

What is a number cube?

Back

A number cube, also known as a die, is a six-sided object with each side showing a different number from 1 to 6.

Front

If a number cube is rolled, what is the probability of rolling a 4?

Back

The probability of rolling a 4 is 1/6, since there is one favorable outcome (rolling a 4) out of six possible outcomes.

Front

How do you calculate the expected number of times an event will occur?

Back

To calculate the expected number of times an event will occur, multiply the total number of trials by the probability of the event.

Front

What is the expected number of times a number cube will land on a 4 if rolled 30 times?

Back

Expected number = 30 rolls * (1/6 probability) = 5 times.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How can you use proportions to predict outcomes?

Back

You can set up a proportion based on known outcomes to predict unknown outcomes, ensuring the ratios remain equivalent.

Front

If a spinner has 4 equal sections and is spun 60 times, how many times would you expect it to land on one specific color?

Back

Expected number = (1/4 probability) * 60 spins = 15 times.

Front

What is the expected number of times a number cube will land on a number greater than 4 if rolled 30 times?

Back

Numbers greater than 4 are 5 and 6, so the probability is 2/6. Expected number = 30 rolls * (2/6) = 10 times.

Front

What does it mean if an event has a probability of 0?

Back

It means the event is impossible and will not occur.