Probability of Independent and Dependent Events

Front

What is the probability of an event?

Back

The probability of an event is a measure of the likelihood that the event will occur, expressed as a number between 0 and 1.

Tags

CCSS.7.SP.C.5

Front

What are independent events in probability?

Back

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

Tags

CCSS.HSS.CP.A.5

Front

What are dependent events in probability?

Back

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

Tags

CCSS.HSS.CP.A.5

Front

How do you calculate the probability of independent events occurring together?

Back

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

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

How do you calculate the probability of dependent events occurring together?

Back

To find the probability of two dependent events A and B occurring together, use: P(A and B) = P(A) * P(B|A), where P(B|A) is the probability of B given A has occurred.

Front

What is the total number of outcomes in a spinner with 2 A’s, 3 B’s, and 3 C’s?

Back

The total number of outcomes is 2 + 3 + 3 = 8.

Front

If a spinner has 3 B’s out of 8 total outcomes, what is the probability of spinning a B?

Back

The probability of spinning a B is 3/8.

Tags

CCSS.7.SP.C.7B

Front

What is the probability of spinning a B and then an A on the spinner?

Back

The probability is (3/8) * (2/8) = 6/64 = 3/32.

Front

In a treat bag with 6 lollipops and 4 gum balls, what is the probability of selecting a gum ball first and then a lollipop without replacement?

Back

The probability is (4/10) * (6/9) = 24/90 = 4/15.

Front

What is the probability of selecting a new light bulb and then a used light bulb from a box containing 9 new and 6 used light bulbs without replacement?

Back

The probability is (9/15) * (6/14) = 54/210 = 9/35.