Independent and 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.

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.

Front

What is the probability of getting tails when tossing a fair coin?

Back

The probability of getting tails when tossing a fair coin is 1/2.

Front

If a coin is tossed four times, what is the probability of getting tails each time?

Back

The probability is (1/2)^4 = 1/16.

Front

What is the probability of rolling an odd number on a fair six-sided die?

Back

The probability is 3/6 or 1/2, since there are three odd numbers (1, 3, 5) on a die.

Front

If a number cube is rolled twice, what is the probability of rolling an odd number both times?

Back

The probability is (1/2) * (1/2) = 1/4.

Front

What is the probability of drawing a red marble from a bag containing red and blue marbles, keeping it, and then drawing a blue marble?

Back

This is a dependent event; the probability changes after the first draw.

Front

What is the probability of tossing a coin and rolling a die at the same time?

Back

The events are independent; the probability of heads and rolling a 7 is 0.

Front

If you flip a coin two times, what type of events are these?

Back

These are independent events.

Front

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

Back

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