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

If a bag contains 3 red marbles, 2 blue marbles, 4 green marbles, and 1 yellow marble, what is the probability of pulling a red marble?

Back

P(Red) = 3/10.

Front

What is the probability of flipping a nickel three times and getting all tails?

Back

P(All tails) = (1/2)^3 = 1/8.

Front

What is the probability of selecting a yellow gummy bear followed by a red gummy bear from a bag containing 4 red, 5 green, and 3 yellow gummy bears?

Back

P(Yellow then Red) = (3/12) * (4/11) = 1/11.

Front

What is the formula for calculating the probability of two independent events A and B occurring?

Back

P(A and B) = P(A) * P(B).

Front

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

Back

P(Dark Chocolate then Caramel) = (16/35) * (12/34).

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.

Front

Define dependent events in probability.

Back

Dependent events are two or more events where the occurrence of one event affects the occurrence of the other.

Front

What is the probability of rolling a die and getting a number greater than 4?

Back

P(Number > 4) = 2/6 = 1/3.