2­6_Theoretical_Probability2010 web.notebook December 07, 2010 2‐6 Theoretical & Experimental Probability Probability ‐ the chance that something will happen Theoretical Probability out try come ing y to ou ar fin d e Objective ‐ Find out how likely it is something will happen of favorable outcomes P(event) = number total possible outcomes r n io at vi lity e br bi ab oba pr fo Dec 31 ­ 3:06 PM Probability ‐ the chance that something will happen Ex) Find the probability of rolling the number 5 with a single die. Feb 23­7:03 PM Ex) Find the probability of rolling an even number with a single die. Step 1: What are our possible outcomes? Step 1: What are our possible outcomes? Step 2: How many of those outcomes are favorable? Step 2: How many of those outcomes are favorable? Step 3: Write the probability of the event occurring. Step 3: Write the probability of the event occurring. Dec 31 ­ 3:06 PM Dec 31 ­ 3:06 PM Find the following probabilities when rolling a single die. The COMPLIMENT of an event is the probability that the event will NOT occur. The sum of the probabilities of an event and its compliment is 1. P(event) + P(not event) = 1 P(not 2) = P(not 5) = P(7) = P(any # from 1 to 6) = Feb 23­7:23 PM Dec 31 ­ 3:06 PM 1 2­6_Theoretical_Probability2010 web.notebook December 07, 2010 Theoretical VS. Experimental probability Theoretical Experimental P(red) = P(red) = P(orange) = P(orange) = P(not blue) = P(not blue) = Homework: Probabilities Worksheet Dec 31 ­ 3:06 PM Dec 31 ­ 3:06 PM 2