Probability Review

Front

What is probability?

Back

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

Front

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

Back

The probability of rolling a six on a fair six-sided die is 1/6.

Front

If you flip a coin three times, what is the total number of possible outcomes?

Back

The total number of possible outcomes when flipping a coin three times is 2^3 = 8.

Front

What is the probability of getting all tails when flipping a coin three times?

Back

The probability of getting all tails when flipping a coin three times is 1/8.

Front

How do you calculate the probability of drawing a specific item from a group?

Back

To calculate the probability of drawing a specific item, divide the number of favorable outcomes by the total number of possible outcomes.

Front

In a bag with 30 pieces of candy (15 grape, 7 cherry, 3 lemon, 5 strawberry), what is the probability of drawing a lemon?

Back

The probability of drawing a lemon is 3/30, which simplifies to 1/10.

Front

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

Back

The probability of independent events occurring together is the product of their individual probabilities.

Front

If Bag A contains 9 red marbles and 3 green marbles, what is the probability of selecting a green marble?

Back

The probability of selecting a green marble from Bag A is 3/12, which simplifies to 1/4.

Front

If Bag B contains 9 black marbles and 6 orange marbles, what is the probability of selecting a black marble?

Back

The probability of selecting a black marble from Bag B is 9/15, which simplifies to 3/5.

Front

What is the combined probability of selecting one green marble from Bag A and one black marble from Bag B?

Back

The combined probability of selecting one green marble from Bag A and one black marble from Bag B is (3/12) * (9/15) = 3/20.