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Chapter 9 Section 1 Probability Review Probability Review Fraction 1. ¼ Decimal Percent .25 25% 2. 2/7 .2857 28.6% 3. 1 1 100% Probability -How likely it is that an event will occur Vocabulary Theoretical Probability What “should” happen, mathematically P(E) = # of favorable outcomes # of total possible outcomes More Vocabulary • Trials • Each time an experiment is performed •Outcomes •Results of the trials •Experimental Probability •Found by actually observing an experiment •(what really happened) P(E) = # of favorable outcomes # of total possible outcomes Ex. 1 What is the probability of rolling a 6 on a die? P(6)= 1 6 Ex. 2 Out of 1100 people, 836 played a sport. What is the probability that a person picked at random will play a sport? P(play a sport)= 836 = 19/25 1100 Sample Space: The set of all possible outcomes of an experiment How to find a sample space: Tree Diagram Draw a tree diagram to show the sample space of flipping a coin and then rolling a 6-sided die. H T 1 2 3 4 5 6 1 2 3 4 5 6 H1 H2 H3 H4 H5 H6 T1 T2 T3 T4 T5 T6 12 possibilities!!! Ex. 3 A person flips a penny, a nickel and a dime. Find the probability that EXACTLY 2 of the coins landed on heads? H H H HHH T HHT H HTH T HTT H THH T H T T THT H TTH T TTT T P(exactly 2 heads)= = 3 8 Ex. 4 Suppose a coin is flipped 100 times, Predict how many time you will roll a heads. 1 P(heads)= 2 ½ of 100 ½(100)= 50