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

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

Front

If a spinner has 4 equal sections (red, blue, green, yellow), what is the probability of landing on blue?

Back

The probability of landing on blue is 1/4.

Front

What is the probability of landing on blue first and then green on a spinner with 4 equal sections?

Back

The probability is P(blue) * P(green) = (1/4) * (1/4) = 1/16.

Front

What is a compound event?

Back

A compound event is an event that consists of two or more simple events.

Front

What is the probability of drawing a red pen from a box with 3 red, 2 green, and 1 blue pen?

Back

The probability of drawing a red pen is 3/6 or 1/2.

Front

If you draw a red pen and replace it, what is the probability of then drawing a green pen?

Back

The probability is still 2/6 or 1/3.

Front

What is the probability of drawing a second purple marble after drawing a blue marble without replacement from a bag of 3 purple, 1 blue, and 1 yellow marble?

Back

The probability is 3/4.

Front

What is the probability of landing on 'X' on the first spin and 'F' on the second spin if there are 6 equal sections?

Back

The probability is P(X) * P(F) = (1/6) * (1/6) = 1/36.

Front

What are dependent events?

Back

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