Independent VS 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

Example of Independent Events: Drawing Marbles

Back

If you draw a marble from a bag, replace it, and then draw again, the events are independent.

Tags

CCSS.HSS.CP.A.5

Front

Example of Dependent Events: Drawing Cards

Back

If you draw a card from a deck and do not replace it, the probability of drawing a second card is dependent on the first.

Tags

CCSS.HSS.CP.A.5

Front

What is the formula for Independent Probability?

Back

P(A and B) = P(A) * P(B) for independent events A and B.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

What is the formula for Dependent Probability?

Back

P(A and B) = P(A) * P(B|A) for dependent events A and B.

Front

What does 'without replacement' mean?

Back

'Without replacement' means that once an item is drawn, it is not put back into the set, affecting the probabilities of subsequent draws.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

What does 'with replacement' mean?

Back

'With replacement' means that once an item is drawn, it is put back into the set, keeping the probabilities the same for subsequent draws.

Front

Identify if the following is independent or dependent: Picking 2 students from a group of 20 without replacement.

Back

Dependent.

Tags

CCSS.HSS.CP.A.5

Front

Identify if the following is independent or dependent: Picking 2 marbles from a bag with replacement.

Back

Independent.

Tags

CCSS.HSS.CP.A.5