advertisement

9-5: Fundamental Counting Principle 3/31/15 What is the Fundamental Counting Principle Fundamental You can use multiplication to find the number of Counting possible outcomes in a sample space. Principle? If event M has m possible outcomes and event N has n possible outcomes, then event M followed by event N has m∙n possible outcomes. Example 1: Find the total number of outcomes when choosing from bike helmets that come in three colors and two styles. 3 x 2 = 6 outcomes Example 2: Two number cubes are rolled. What is the probability that the sum of the numbers on the cubes is 12? How likely is it that the sum would be 12? There is only one outcome where the sum is 12…double 6’s So… If cube 1 has 6 different possible outcomes and cube 2 has 6 possible outcomes, then when you roll the two cubes at once there are 36 possible outcomes, because 6 x 6 = 36 P(sum of 12) = 1/36, which is unlikely