GEO Probability Multiplication and Addition Rules

Front

What is the probability of choosing a girl or an A student in a class of 30 students with 17 boys and 13 girls, where 4 boys and 5 girls made an A grade?

Back

P(Girl or A student) = P(Girl) + P(A student) - P(Girl and A student) = 13/30 + 9/30 - 0 = 22/30.

Front

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

Back

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

Front

What is the formula for the probability of two dependent events?

Back

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

Front

What is the formula for the probability of two non-mutually exclusive events?

Back

P(A or B) = P(A) + P(B) - P(A ∩ B).

Front

What is the formula for the probability of two mutually exclusive events?

Back

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

Front

Define independent events in probability.

Back

Independent events are events where the occurrence of one event does not affect the occurrence of another.

Front

Define dependent events in probability.

Back

Dependent events are events where the occurrence of one event affects the occurrence of another.

Front

What does it mean for events to be mutually exclusive?

Back

Mutually exclusive events cannot occur at the same time.

Front

What is the total number of outcomes in a probability experiment?

Back

The total number of outcomes is the sum of all possible outcomes in the sample space.

Front

How do you calculate the probability of an event?

Back

P(Event) = Number of favorable outcomes / Total number of outcomes.