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. For example, flipping a coin and rolling a die are independent events.

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. For example, drawing two cards from a deck without replacement is a dependent event.

Tags

CCSS.HSS.CP.A.5

Front

Example of Independent Events:

Back

Flipping a coin and rolling a die.

Tags

CCSS.HSS.CP.A.5

Front

Example of Dependent Events:

Back

Drawing two marbles from a bag without replacement.

Tags

CCSS.HSS.CP.A.5

Front

What happens to the probability when events are independent?

Back

The probability of independent events is calculated by multiplying the probabilities of each event.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

What happens to the probability when events are dependent?

Back

The probability of dependent events is calculated by adjusting the probability of the second event based on the outcome of the first event.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

If a marble is drawn and replaced, what type of event is this?

Back

Independent event.

Tags

CCSS.HSS.CP.A.5

Front

If a marble is drawn and not replaced, what type of event is this?

Back

Dependent event.

Tags

CCSS.HSS.CP.A.5

Front

What is the probability of drawing a second card from a deck after drawing the first without replacement?

Back

The probability is dependent on the first card drawn.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

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

Back

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

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4