Probability of Compound Events

Front

What is the probability of selecting one green marble from Bag A and one black marble from Bag B if Bag A contains 9 red marbles and 3 green marbles, and Bag B contains 9 black marbles and 6 orange marbles?

Back

P(green, black) = \frac{3}{20}

Front

What is the theoretical probability of pulling a red marble from a bag that has 3 red marbles, 2 blue marbles, and 4 yellow marbles?

Back

P(red) = \frac{3}{9} = \frac{1}{3}

Tags

CCSS.7.SP.C.7B

Front

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble if the bag contains 4 blue marbles and 3 red marbles?

Back

P(blue, red) = \frac{4}{7} \times \frac{3}{7}

Front

If Lucy spins a spinner twice, what is the probability that she lands on blue first and then on yellow or green?

Back

P(blue, yellow or green) = \frac{1}{8}

Front

What is the probability of landing on red the first spin and on green the second spin if the spinner has 3 red, 2 green, and 5 blue sections?

Back

P(red, green) = \frac{1}{9}

Front

Define a compound event in probability.

Back

A compound event is an event that consists of two or more simple events.

Front

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

Back

P(A \text{ and } B) = P(A) \times P(B) for independent events.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

What is the difference between independent and dependent events in probability?

Back

Independent events do not affect each other's outcomes, while dependent events do.

Tags

CCSS.HSS.CP.A.5

Front

How do you calculate the probability of a compound event that involves 'or'?

Back

P(A \text{ or } B) = P(A) + P(B) - P(A \text{ and } B).

Tags

CCSS.HSS.CP.B.7

Front

What is the probability of rolling a sum of 7 with two six-sided dice?

Back

P(sum = 7) = \frac{6}{36} = \frac{1}{6}.