Compound Probability 2024

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

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 are independent events.

Front

What is the formula for calculating the probability of independent events?

Back

The probability of two independent events A and B occurring together is P(A and B) = P(A) * P(B).

Front

What is a tree diagram?

Back

A tree diagram is a visual representation used to show all possible outcomes of a probability experiment. It branches out to represent each possible event.

Front

How do you calculate the probability of an event?

Back

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. P(Event) = Number of favorable outcomes / Total outcomes.

Front

What is the sample space in probability?

Back

The sample space is the set of all possible outcomes of a probability experiment. For example, the sample space for flipping a coin is {Heads, Tails}.

Front

What does it mean for events to be mutually exclusive?

Back

Mutually exclusive events are events that cannot occur at the same time. For example, rolling a 3 or a 4 on a die are mutually exclusive events.

Front

How do you find the probability of mutually exclusive events?

Back

The probability of either event A or event B occurring is P(A or B) = P(A) + P(B).

Front

What is the probability of selecting a yellow golf ball from a bucket containing 2 yellow and 5 white golf balls?

Back

The probability of selecting a yellow golf ball is P(Yellow) = Number of yellow balls / Total balls = 2 / (2 + 5) = 2/7.

Front

If you flip a coin and it lands on heads, what is the probability of then selecting a white golf ball from a bucket with 5 white balls?

Back

The probability of selecting a white golf ball after flipping heads is P(White | Heads) = Number of white balls / Total balls = 5 / (2 + 5) = 5/7.