You are rolling a fair, six-sided number cube. Let E = the event that it lands on an even number. Let M = the event that it lands on a multiple of three.

What does 
P(E|M)
 mean in words?

The expression \( P(E|M) \) represents the **conditional probability** of event \( E \) (landing on an even number) **given that** event \( M \) (landing on a multiple of three) has already occurred. In other words, it's the probability that the number cube shows an even number, assuming that it is already known to be a multiple of three.

Do you have any questions about this? Here are 5 related questions to explore further:

1. What are the possible outcomes when rolling a fair six-sided number cube?
2. How would you calculate \( P(E|M) \) for this specific problem?
3. What is the probability of landing on a multiple of three when rolling the cube?
4. Can a number be both even and a multiple of three on a six-sided cube?
5. How does the formula for conditional probability work in general?

**Tip:** When solving conditional probability problems, it's helpful to list out all possible outcomes that satisfy the condition first.

You are rolling a fair, six-sided number cube. Let E = the event that it lands on an even number. Let M = the event that it lands on a multiple of three. What does P(E|M) mean in words?

Learn how to interpret conditional probability in the context of rolling a six-sided die. Understand the event of landing on an even number given that a multiple of three has occurred, using the conditional probability formula P(E|M). Suitable for students in Grades 9-12.

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