Compound probability

Front

What is compound probability?

Back

Compound probability refers to the probability of two or more events happening at the same time. It can be calculated using the multiplication rule for independent events or the addition rule for mutually exclusive events.

Front

How do you calculate the theoretical probability of an event?

Back

Theoretical probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Formula: P(Event) = Number of favorable outcomes / Total number of outcomes.

Front

What is the probability of pulling a red marble from a bag containing 3 red, 2 blue, 4 green, and 1 yellow marble?

Back

3/10

Front

What is the probability of spinning green or blue if the spinner is divided into 12 equal sections with 5 green and 7 blue?

Back

1/2

Front

What is the probability of a coin showing tails and a number cube showing the number 3?

Back

1/12

Front

How do you find the probability of two independent events occurring together?

Back

Multiply the probabilities of each event. Formula: P(A and B) = P(A) * P(B).

Front

What is the probability of selecting a dark chocolate and then a caramel from a jar containing 12 caramels, 7 mints, and 16 dark chocolates?

Back

16/35 x 12/34

Front

What is the probability of spinning red if the spinner has 5 red sections out of 12 total sections?

Back

5/12

Front

What is the addition rule in probability?

Back

The addition rule states that the probability of the occurrence of at least one of two events is the sum of their individual probabilities minus the probability of their intersection. Formula: P(A or B) = P(A) + P(B) - P(A and B).

Front

What does it mean for events to be independent in probability?

Back

Independent events are those whose outcomes do not affect each other. The occurrence of one event does not change the probability of the other event.