Probability of Compound Events (Independent and Dependent)

Front

What is the probability of drawing an orange marble followed by a green marble from a box containing 5 purple, 3 green, and 2 orange marbles without replacement?

Back

P(orange, green) = 1/15

Front

What equation represents the probability of rolling a 2 and then rolling an odd number with a pair of dice?

Back

P(2, then odd) = ⅙ x ½ = 1/12

Front

What is the probability of flipping heads on a coin and then getting yellow on a spinner with 6 colors?

Back

P(heads, yellow) = 1/12

Front

If Mrs. Cole randomly takes two pieces of fruit from a bowl of 8 oranges and 8 apples, what is the probability she will choose two apples?

Back

P(apple, apple) = 7/30

Front

What is the probability of selecting two apples from a basket containing four apples and six peaches, when both selections are made without replacement?

Back

P(apple, apple) = 2/15

Front

Define independent events in probability.

Back

Independent events are events where the outcome of one event does not affect the outcome of another.

Front

Define dependent events in probability.

Back

Dependent events are events where the outcome of one event affects the outcome of another.

Front

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

Back

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

Front

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

Back

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

Front

If the probability of event A is 1/4 and event B is 1/3, what is the probability of both events occurring if they are independent?

Back

P(A and B) = 1/4 x 1/3 = 1/12.