General Multiplication Rule Probability

Roll two 6-sided dice. Add the numbers together. Find the probability that one of the dice is a 6, given that the sum is greater than 9. The probability is _____.

Write your answer as a fraction (do not simplify).

The spinner below is divided into 4 equal parts. It is spun once, and the coin is flipped once. What is the probability of obtaining red on the spinner followed by heads on the coin?

John has seven keys on a ring. He gives these keys to his friend Robin and asks her to unlock a door. If two of the seven keys can unlock the door, what is the probability that Robin unlocks the door on exactly her third attempt?

What is the Multiplication Rule?

• P(A) ⋅ P(B|A)

• P(A) - P(B)

• P(A) ⋅ P(B)

• P(A) + P(B) - P(A ∩ B)

Two spinners are each divided into equal sections, as shown above. Each spinner is spun once. What is the probability that the spinners will land on 2 numbers with a sum of 3.5?

If P(A) = 0.6 and P(B) = 0.5, what is P(A and B) if A and B are independent events?

• 0.1

• 1.1

• 0.9

• 0.3

Explain the components of a probability model and how it is used to calculate probabilities.

• The components of a probability model include the sample space, events, and probabilities assigned to each event. It is used to calculate probabilities by using the rules of probability, such as the addition rule and multiplication rule.

• The components of a probability model include the alphabet, numbers, and colors. It is used to calculate probabilities by flipping a coin.

• The components of a probability model include the weather, sports, and politics. It is used to calculate probabilities by guessing.

• The components of a probability model include the population, GDP, and unemployment rate. It is used to calculate probabilities by using astrology.