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Today we will explore the Essential Question, “What is procedure for finding the probability of a single event?"

Today we will explore the Essential Question, “What is procedure for finding the probability of a single event?".

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Today we will explore the Essential Question, “What is procedure for finding the probability of a single event?"

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  1. Today we will explore the Essential Question, “What is procedure for finding the probability of a single event?" People use probability to make decisions such as how many people a business should employ to serve its customers, whether or not a company should expand, whether or not a new medicine should be released, or even whether or not to carry an umbrella on a particular day. To find the probability of a particular event, we can use this formula: When a probability experiment is conducted, the different possible results are called outcomes. For example, if a coin is tossed, the number of possible outcomes is 2 because the coin can land heads or tails. If heads is the desired outcome, then the number of successful outcomes is 1. Using the formula above, the probability of obtaining heads when tossing a coin is .

  2. 2 3 1 4 2 5 3 4 Example 1: The diagram shows a spinner that is used in a board game. The spinner randomly lands on one of the spaces shown. Find the probability that the spinner lands on 3. 3 3 Count the number of spaces. 8 8 Total number of possible outcomes: 2 Number of successful outcomes: 2 or Therefore, the probability of obtaining a 3 is .

  3. Example 2: Mr. Martin is holding a trivia contest. The 13 students who are participating randomly draw cards that are numbered with consecutive integers from 1 to 13. • The student who draws number 1 will be the host. • The students who draw the other odd numbers will be on the Red Team. • The students who draw the even numbers will be on the Blue team. One student has already drawn a card and is on the Blue Team. If Carlos is the next student to draw a card, what is the probability that he will be on the Red Team? Total number of possible outcomes: 12 12 (one card has already been drawn) 6 Number of successful outcomes: (He is on the Red Team if he draws 3, 5, 7, 9, 11, or 13) 6 or . Therefore, the probability that Carlos is on the Red Team is

  4. Guided Practice Problems: 1. Miguel filled a jar with 200 beans. One hundred twenty beans are red, and the rest are white. If Miguel closes his eyes and picks a bean out of the jar, what is the probability that the bean he picks will be white? 200 Total number of possible outcomes: 200 Number of successful outcomes: 80 80 white beans or Therefore, the probability that the bean he picks will be white is

  5. 2. Each student in a history class must make a speech on patriotism. A bag containing 21 slips of paper numbered consecutively from 1 to 21 is used to determine the order of speeches. One student has already drawn the number 1. What is the probability that the next person will draw the number 21? 20 Total number of possible outcomes: 20 Number of successful outcomes: 1 1 Therefore, the probability that the next person will draw the number 21 is:

  6. 3. The table shows the birthdays of children in a family. If one child is selected at random, what is the probability that the child's birthday will be celebrated during April through October? Total number of possible outcomes: 5 5 Number of successful outcomes: 3 3 Therefore, the probability that the child’s birthday will be celebrated during April through October is:

  7. 4. The Florida Freshwater and Game Commission conducted a survey of the number of fish caught per boat on a series of lakes in central Florida. The table below shows how many fish were caught and the number of boats surveyed. If a boat is selected at random, what is the probability that the number of fish caught from that boat will be at least five? 35 Total number of possible outcomes: 35 10 + 5 + 3 + 2 + 6 + 4 + 2 + 3 = 35 boats Number of successful outcomes: 9 9 4 + 2 + 3 = 9 boats Therefore, the probability that the number of fish caught will be at least five is:

  8. The probability that the coin is not a nickel is: Total number of possible outcomes: 10 4 + 4 + 2 = 10 coins Number of successful outcomes: 8 5 Total number of possible outcomes: The probability that Joseph is on the end is: Number of successful outcomes: 2 Independent Practice Problems: 1. A friend gave Tina a box of coins. It contained 4 quarters, 4 dimes, and 2 nickels. If Tina shakes the box and one coin falls out, what is the probability it is not a nickel, assuming each coin has an equally likely chance of falling out? 2. A quintet (5 member group) lines up on a stage in random order to perform. What is the probability that Joseph, a member of the quintet, is on one end, either the left end or the right end?

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