Compound Probability

Front

What is compound probability?

Back

Compound probability is 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 probability of two independent events occurring?

Back

To find the probability of two independent events A and B both occurring, multiply their individual probabilities: P(A and B) = P(A) * P(B).

Front

What is the probability of rolling an even number on a standard die?

Back

There are 3 even numbers (2, 4, 6) on a die. The probability is P(even) = 3/6 = 1/2.

Front

What is the probability of flipping heads on a fair coin?

Back

The probability of flipping heads on a fair coin is P(heads) = 1/2.

Front

What is the sample space in probability?

Back

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

Front

How do you represent outcomes using a tree diagram?

Back

A tree diagram visually represents all possible outcomes of an event by branching out from a starting point for each possible outcome.

Front

What is the probability of getting at least one head when flipping three coins?

Back

The probability of getting at least one head when flipping three coins is 7/8.

Front

What does 'mutually exclusive' mean in probability?

Back

Mutually exclusive events cannot occur at the same time. For example, rolling a 2 and rolling a 3 on a die are mutually exclusive.

Front

How do you find the probability of either event A or event B occurring?

Back

For mutually exclusive events, P(A or B) = P(A) + P(B). For non-mutually exclusive events, P(A or B) = P(A) + P(B) - P(A and B).

Front

What is the probability of getting olives or onions on a pizza if there are 2 options for each?

Back

If there are 2 options for olives and 2 options for onions, the probability of getting either is P(olives or onions) = 2/5.