PROBABILITY: Independent & Dependent Events

Front

What is the definition of 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 is the definition of 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

If you draw a card from a deck and do not replace it, are the events of drawing two cards independent or dependent?

Back

Dependent.

Tags

CCSS.HSS.CP.A.5

Front

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

Back

Independent.

Tags

CCSS.HSS.CP.A.5

Front

What is the probability of drawing two red marbles from a bag containing 5 red and 5 blue marbles without replacement?

Back

2/15 = 0.133.

Tags

CCSS.HSS.CP.B.9

Front

What is the probability of drawing two diamonds from a deck of cards with replacement?

Back

1/16 = 0.063.

Front

In a scenario where you pick a fruit from a basket and do not replace it, how does this affect the probability of the next pick?

Back

It creates dependent events.

Tags

CCSS.HSS.CP.A.5

Front

If you have two bags of marbles and you pick one marble from each bag, are the events independent or dependent?

Back

Independent.

Tags

CCSS.HSS.CP.A.5

Front

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

Back

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