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).

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).

Front

If you flip a coin twice, what is the probability of getting heads on the first flip and tails on the second flip?

Back

1 / 4 = 0.25

Front

If you flip a coin twice, what is the probability of getting heads on both flips?

Back

1 / 4 = 0.25

Front

In a bag with 8 red marbles and 3 blue marbles, if you pick one marble and then pick another from a different bag with 5 green and 4 yellow marbles, are the events independent or dependent?

Back

Independent

Front

In a cooler with 14 bottles of sports drink (7 lemon-lime and 7 orange), if you give one bottle to a friend and then pick another for yourself, are the events independent or dependent?

Back

Dependent

Front

What is the probability of drawing a diamond from a standard deck of 52 cards, replacing it, and then drawing another diamond?

Back

1 / 16 = 0.063

Front

What is the total number of outcomes when flipping a coin twice?

Back

4 outcomes: HH, HT, TH, TT.

Front

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

Back

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

Front

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

Back

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