To find the probability of two events occurring together, you have to decide whether one even occurring affects the other event. * Dependent Events—the outcome of a second event depends on what happens first. * Independent Events—the first outcome does not affect the second outcome

1. Roll a number cube. Then spin a spinner. 2. Pick one flash card, then another from a stack of 30 flash cards. 3. Draw one marble from a bag, then replace it and draw another. 4. Draw one marble from a bag, then draw another without replacing.

Two events that cannot happen at the same time are called mutually exclusive. You roll a standard die. Are these events mutually exclusive? 1. Rolling a 2 and a 3 2. Rolling an even number and a multiple of 3 3. Rolling an even number and a prime number

* A student can take one foreign language each term. About 37% of students take Spanish. About 15% of students take French. What is the probability that a student chosen at random is taking Spanish or French?

Suppose you reach into this dish and select a token. What is the probability that the token is round or green?