Independent and Dependent Probability

Front

What is independent probability?

Back

Independent probability refers to the likelihood of an event occurring that is not affected by the occurrence of another event.

Tags

CCSS.HSS.CP.A.5

Front

What is dependent probability?

Back

Dependent probability refers to the likelihood of an event occurring that is affected by the occurrence of another event.

Tags

CCSS.HSS.CP.A.5

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.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

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

Back

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

Front

What does it mean to replace an item in probability?

Back

Replacing an item means putting it back into the sample space before the next event occurs, making the events independent.

Tags

CCSS.HSS.CP.A.5

Front

What does it mean to not replace an item in probability?

Back

Not replacing an item means it is removed from the sample space before the next event occurs, making the events dependent.

Tags

CCSS.HSS.CP.A.5

Front

If you flip a coin, what is the probability of getting heads?

Back

The probability of getting heads is 1/2.

Tags

CCSS.7.SP.C.7A

Front

If you flip a coin three times, what is the probability of getting all tails?

Back

The probability of getting all tails is 1/8.

Tags

CCSS.HSS.MD.B.6

CCSS.HSS.MD.B.7

Front

In a bag with 5 red and 3 blue marbles, what is the probability of picking a red marble?

Back

The probability of picking a red marble is 5/8.

Tags

CCSS.7.SP.C.7B

Front

If you draw two cards from a deck without replacement, what is the probability of both being aces?

Back

The probability is P(Ace 1) * P(Ace 2|Ace 1) = (4/52) * (3/51) = 1/221.