Percentages and Compound Probability

Front

What is a percentage?

Back

A percentage is a way of expressing a number as a fraction of 100. It is often used to compare proportions.

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and then multiply by 100.

Front

What is the formula for calculating compound probability?

Back

The formula for compound probability is P(A and B) = P(A) * P(B) if A and B are independent events.

Front

What is the sample space in probability?

Back

The sample space is the set of all possible outcomes of a probability experiment.

Front

If you flip a coin twice, what is the sample space?

Back

The sample space is {HH, HT, TH, TT}.

Front

What does it mean for events to be independent?

Back

Two events are independent if the occurrence of one does not affect the occurrence of the other.

Front

What is the probability of rolling a sum of 6 with two dice?

Back

Front

How does removing an item from a sample affect probability?

Back

Removing an item can change the total number of outcomes, thus affecting the probability of subsequent events.

Front

What is the probability of picking a red marble from a bag with 4 red and 3 blue marbles?

Back

Front

What is the difference between theoretical and experimental probability?

Back

Theoretical probability is based on expected outcomes, while experimental probability is based on actual experiments.