Probability of Independent and 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.

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.

Front

If Anna flips a coin two times, are the events independent or dependent?

Back

Independent

Front

What is the probability of rolling an odd number on a number cube?

Back

1/2 (There are 3 odd numbers: 1, 3, 5 out of 6 total numbers.)

Front

What is the probability of rolling an odd number twice in a row?

Back

1/4 (1/2 for the first roll and 1/2 for the second roll: 1/2 * 1/2 = 1/4.)

Front

If Sue selects a treat from a bag of 6 lollipops and 4 gum balls without replacement, what is the probability of selecting a gumball then a lollipop?

Back

4/15

Front

What is the probability of selecting two purple pencils from a basket containing 5 purple and 9 brown pencils without replacement?

Back

10/91

Front

In a standard deck of 52 cards, what is the probability of drawing one ace after another ace without replacement?

Back

1/221

Front

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

Back

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

Front

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

Back

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