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

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

Back

P(A and B) = P(A) * P(B), where A and B are independent events.

Front

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

Back

P(A or B) = P(A) + P(B), where A and B cannot occur at the same time.

Front

How do you calculate the probability of an event not occurring?

Back

P(not A) = 1 - P(A), where A is the event of interest.

Front

What is 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.

Front

If a spinner has 5 equal sections, 2 of which are red, what is the probability of landing on red?

Back

P(red) = 2/5.

Front

In a bag with 3 red, 2 blue, and 4 green marbles, what is the probability of pulling a blue marble?

Back

P(blue) = 2/9.

Front

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

Back

P(greater than 4) = 2/6 or 1/3.

Front

If you flip a coin and roll a die, what is the probability of getting heads and a 3?

Back

P(heads and 3) = P(heads) * P(3) = (1/2) * (1/6) = 1/12.

Front

What is the probability of drawing a letter other than 'A' from the word 'ALGEBRA'?

Back

P(not A) = 5/7.