1. Lesson 4.6 Probability of Compound Events Independent events – events that do not influence each other. Rule: Probability of Two Independent Events If A and B are independent events, P(A and B) = P(A) P(B). Vocabulary

2. Independent Events ALGEBRA 1 LESSON 4-6 Suppose you roll two number cubes. What is the probability that you will roll an odd number on the first cube and a multiple of 3 on the second cube? P(odd and multiple of 3) = P(odd) P(multiple of 3) The probability that you will roll an odd number on the first cube and a multiple of 3 on the second cube is. 1616 P(odd) = = 3636 1212 There are 3 odd numbers out of six numbers. P(multiple of 3) = = 2626 1313 There are 2 multiples of 3 out of 6 numbers. = 1212 1313 = 1616 Substitute. Simplify. 4-6

3. Selecting With Replacement Suppose you have 3 quarters and 5 dimes in your pocket. You take out one coin, and then put it back. Then you take out another coin. What is the probability that you take out a dime and then a quarter? Since you replace the first coin, the events are independent. ALGEBRA 1 LESSON 4-6 P(dime and quarter) = P(dime) P(quarter) = = 5858 3838 15 64 Multiply. The probability that you take out a dime and then a quarter is. 15 64 P(dime) =There are 5 out of 8 coins that are dimes. 5858 P(quarter) =There are 3 out of 8 coins that are quarters. 3838 4-6

4. Probability of Compound Events ALGEBRA 1 LESSON 4-6 You roll two number cubes. Find each probability. 1.P(odd and even)2.P(1 or 2 and less than 5) You select letters from the following: A A B B B C D D E F G G G and replace them. Find each probability. 3.P(A then B)4.P(vowel then G) 1414 2929 1 26 3 52 4-6