Chapter 9 Section 1 Probability Review.

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Presentation transcript:

Chapter 9 Section 1 Probability Review

Probability Review .25 25% .2857 28.6% 100% 1 Fraction Decimal Percent 1. ¼ 2. 2/7 3. 1 .25 25% .2857 28.6% 100% 1 Probability How likely it is that an event will occur

Vocabulary Theoretical Probability P(E) = # of favorable outcomes What “should” happen, mathematically P(E) = # of favorable outcomes # of total possible outcomes

More Vocabulary Trials Outcomes Results of the trials Each time an experiment is performed Outcomes Results of the trials Experimental Probability Found by actually observing an experiment (what really happened)

Ex. 1 What is the probability of rolling a 6 on a die? P(E) = # of favorable outcomes # of total possible outcomes Ex. 1 What is the probability of rolling a 6 on a die? 1 P(6)= 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? 836 = 19/25 P(play a sport)= 1100

How to find a sample space: The set of all possible outcomes of an experiment How to find a sample space: 1 2 3 4 5 6 H1 H2 H3 H4 H5 H6 Tree Diagram H Draw a tree diagram to show the sample space of flipping a coin and then rolling a 6-sided die. 12 possibilities!!! 1 2 3 4 5 6 T1 T2 T3 T4 T5 T6 T

Ex. 3 A person flips a penny, a nickel and a dime 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 T HHH H T P(exactly 2 heads)= HHT H H T HTH = 3 HTT 8 H T THH H T THT T H T TTH TTT

Ex. 4 Suppose a coin is flipped 100 times, Predict how many time you will roll a heads. P(heads)= 2 ½ of 100  ½(100)= 50