Independent and Dependent Events and Compound Probability

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

What is compound probability?

Back

Compound probability refers to the probability of two or more events happening at the same time.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

If you flip a coin and roll a die, are these events independent or dependent?

Back

These events are independent because the outcome of the coin flip does not affect the outcome of the die roll.

Tags

CCSS.HSS.CP.A.5

Front

What is the probability of rolling a 3 on a die?

Back

The probability is 1/6.

Tags

CCSS.7.SP.C.7A

Front

What is the probability of drawing a red marble from a bag containing 4 red and 6 blue marbles?

Back

The probability is 4/10 or 2/5.

Tags

CCSS.7.SP.C.7B

Front

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

Back

The probability is 1/4.

Tags

CCSS.7.SP.C.7A

Front

What is the formula for calculating the probability of independent events A and B occurring?

Back

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

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

What is the formula for calculating the probability of dependent events A and B occurring?

Back

P(A and B) = P(A) * P(B|A), where P(B|A) is the probability of B given A.

Front

If a bag contains 5 apples and 3 oranges, what is the probability of picking an apple first and then an orange without replacement?

Back

The probability is (5/8) * (3/7) = 15/56.