Independent and Dependent Events

Front

What are independent events in probability?

Back

Independent events are events where the outcome of one event does not affect the outcome of another. For example, flipping a coin and rolling a die are independent events.

Front

What are dependent events in probability?

Back

Dependent events are events where the outcome of one event affects the outcome of another. For example, drawing two cards from a deck without replacement is a dependent event.

Front

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

Back

The probability of rolling an odd number (1, 3, or 5) on a number cube is 3/6 or 1/2.

Front

If a coin is tossed, what is the probability of getting heads?

Back

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

Front

What is the probability of rolling a 7 on a standard number cube?

Back

The probability of rolling a 7 on a standard number cube is 0, as a standard number cube only has numbers 1 through 6.

Front

How do you calculate the probability of two independent events occurring together?

Back

To find the probability of two independent events occurring together, multiply their individual probabilities. For example, P(A and B) = P(A) * P(B).

Front

What is the probability of getting all answers correct on a true/false quiz with 5 questions by guessing?

Back

The probability of getting all answers correct by guessing on a 5-question true/false quiz is (1/2)^5 = 1/32.

Front

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

Back

For dependent events, the probability is calculated as P(A and B) = P(A) * P(B|A), where P(B|A) is the probability of B given that A has occurred.

Front

In a game of Scrabble, if you need to choose two tiles, how do you calculate the probability of choosing specific tiles?

Back

To calculate the probability of choosing specific tiles, multiply the probability of choosing the first tile by the probability of choosing the second tile after the first has been chosen.

Front

What is the probability of picking a red marble, keeping it, and then picking another red marble?

Back

If there are 3 red marbles and 2 blue marbles, the probability of picking a red marble, keeping it, and then picking another red marble is (3/5) * (2/4) = 6/20 = 3/10.