12/06/24 Probability - Addition Rule

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. It is expressed as P(A or B) = P(A) + P(B) - P(A and B).

Front

Define mutually exclusive events.

Back

Mutually exclusive events are events that cannot occur at the same time. For example, when rolling a die, getting a 2 and getting a 5 are mutually exclusive events.

Front

What is the probability of choosing a girl or an A student from a class of 30 students with 13 girls and 9 A students?

Back

The probability is 17/30.

Front

If two events A and B are mutually exclusive, what is P(A and B)?

Back

P(A and B) = 0, because mutually exclusive events cannot happen at the same time.

Front

What is the probability of rolling a 2 or a 5 on a single 6-sided die?

Back

The probability is 1/3.

Front

How do you calculate the probability of rolling a number greater than 3 or an even number on a 6-sided die?

Back

The probability is 2/3.

Front

What is the total number of outcomes when rolling a single 6-sided die?

Back

There are 6 possible outcomes: 1, 2, 3, 4, 5, and 6.

Front

In a jar with 1 red, 3 green, 2 blue, and 4 yellow marbles, what is the probability of picking a yellow or green marble?

Back

The probability is 7/10.

Front

What does it mean if two events are independent?

Back

Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

Front

What is the formula for calculating the probability of the union of two events?

Back

P(A or B) = P(A) + P(B) - P(A and B).