Finding Probabilities - Ind./Dep.

Front

What is the definition of probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Front

What is the difference between independent and dependent events?

Back

Independent events are those whose outcomes do not affect each other, while dependent events are those where the outcome of one event affects the outcome of another.

Front

If a coin is flipped, what is the probability of landing on heads?

Back

The probability of landing on heads is 1/2.

Front

What is the probability of rolling a number greater than 4 on a standard six-sided die?

Back

The probability is 1/3, as there are 2 favorable outcomes (5 and 6) out of 6 possible outcomes.

Front

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

Back

Multiply the probabilities of each event: P(A and B) = P(A) * P(B).

Front

What is the probability of drawing a red card from a standard deck of cards?

Back

The probability is 1/2, as there are 26 red cards out of 52 total cards.

Front

If you roll a die twice, what is the probability of rolling a 3 both times?

Back

The probability is 1/36, calculated as (1/6) * (1/6).

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 has occurred.

Front

In a fruit basket with 5 apples and 3 bananas, what is the probability of picking an apple first and then a banana without replacement?

Back

The probability is (5/8) * (3/7) = 15/56.

Front

What is the probability of selecting a specific color from a bag containing 4 red, 3 blue, and 2 green marbles?

Back

The probability of selecting a red marble is 4/9.