PROBABILITY: Independent & Dependent Events

Front

What is the definition of independent events in probability?

Back

Independent events are two or more events where the occurrence of one event does not affect the occurrence of the other(s).

Tags

CCSS.HSS.CP.A.5

Front

What is the definition of dependent events in probability?

Back

Dependent events are two or more events where the occurrence of one event affects the occurrence of the other(s).

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 flip a coin and roll a die, 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

1/10 or 0.1.

Front

What is the probability of drawing two milk chocolates from a box containing 6 milk and 8 dark chocolates without replacement?

Back

5/39 or approximately 0.128.

Front

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

Back

1/16 or 0.063.

Front

What is the probability of drawing two apples from a basket containing 8 apples and 7 peaches with replacement?

Back

64/225 or approximately 0.284.

Front

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

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?

Back

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