Probability of Compound Events

Front

What is the probability of a compound event?

Back

The probability of a compound event is the likelihood of two or more events happening together. It can be calculated using the formula: P(A and B) = P(A) * P(B) if A and B are independent.

Front

Define independent events in probability.

Back

Independent events are two or more events where the occurrence of one event does not affect the occurrence of the other. For example, flipping a coin and rolling a die.

Front

What is a tree diagram?

Back

A tree diagram is a visual representation used to show all possible outcomes of an event. It branches out to display the different outcomes for each event.

Front

How do you calculate the total number of outcomes for two independent events?

Back

To find the total number of outcomes for two independent events, multiply the number of outcomes for the first event by the number of outcomes for the second event.

Front

If you roll a die (6 sides) and flip a coin (2 sides), how many total outcomes are there?

Back

There are 12 total outcomes (6 outcomes from the die multiplied by 2 outcomes from the coin).

Front

What is the formula for calculating the probability of selecting an item from a group?

Back

The probability of selecting an item is calculated as: P(item) = Number of favorable outcomes / Total number of outcomes.

Front

How do you find the probability of two dependent events?

Back

For dependent events, the probability is calculated as: P(A and B) = P(A) * P(B after A has occurred).

Front

What is a compound event?

Back

A compound event is an event that involves two or more simple events. For example, rolling a die and flipping a coin.

Front

Calculate the probability of selecting a blue M&M from a bowl with 20 M&Ms total, where there are 5 blue M&Ms.

Back

P(blue) = 5/20 = 1/4.

Front

If you have 12 flavors of ice cream and 8 toppings, how many different combinations can you make?

Back

You can make 96 different combinations (12 flavors * 8 toppings).