Browse the Topics, Table of Contents, and Index
Follow us:
Twitter Facebook

8.4 Expecting the Unexpected

8.4 Expecting the Unexpected
<
>
  • 1. Computer-Generated Sequence

    A computer randomly generates a sequence of symbols. The circle graph shows the probability that the computer generates each of the symbols.

    Find the probability that the sequence occurs. (See Example 1 and Example 2.)

    • Worked-Out Solution

      The probability that a given symbol is a cherry is 12%. So, the probability that all three symbols are cherries is

      In other words, if the computer generated three symbols 100,000 times, you would expect 3 cherries to appear around 173 times.

    Comments (0)

    These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.
    When posting a comment, you agree to our Terms of Use.

      ______    _____     ______    _____     _____   
     /_   _//  |  ___||  /_   _//  |  ___||  / ____|| 
       | ||    | ||__      | ||    | ||__   / //---`' 
      _| ||    | ||__     _| ||    | ||__   \ \\___   
     /__//     |_____||  /__//     |_____||  \_____|| 
     `--`      `-----`   `--`      `-----`    `----`  
                                                      
    
    Showing 0 comments
    Subscribe by RSS
    There are no comments.
  • 2. Computer-Generated Sequence

    A computer randomly generates a sequence of symbols. The circle graph shows the probability that the computer generates each of the symbols.

    Find the probability that the sequence occurs. (See Example 1 and Example 2.)

    Comments (0)

    These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.
    When posting a comment, you agree to our Terms of Use.

      _____      ___      ______    ______    ____    
     |__  //    / _ \\   /_   _//  /_   _//  |  _ \\  
       / //    | / \ ||    | ||     -| ||-   | |_| || 
      / //__   | \_/ ||   _| ||     _| ||_   | .  //  
     /_____||   \___//   /__//     /_____//  |_|\_\\  
     `-----`    `---`    `--`      `-----`   `-` --`  
                                                      
    
    Showing 0 comments
    Subscribe by RSS
    There are no comments.
  • 3. Computer-Generated Sequence

    A computer randomly generates a sequence of symbols. The circle graph shows the probability that the computer generates each of the symbols.

    Find the probability that the sequence occurs. (See Example 1 and Example 2.)

    • Worked-Out Solution

      The probability that a given symbol is a watermelon is 8%. So, the probability that all three symbols are watermelons is

      In other words, if the computer generated three symbols 100,000 times, you would expect 3 watermelons to appear around 51 times.

    Comments (0)

    These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.
    When posting a comment, you agree to our Terms of Use.

      _  _    _    _    _____      ______   __   __  
     | \| || | || | || |  __ \\   /_   _//  \ \\/ // 
     |  ' || | || | || | |  \ ||   -| ||-    \   //  
     | .  || | \\_/ || | |__/ ||   _| ||_    / . \\  
     |_|\_||  \____//  |_____//   /_____//  /_//\_\\ 
     `-` -`    `---`    -----`    `-----`   `-`  --` 
                                                     
    
    Showing 0 comments
    Subscribe by RSS
    There are no comments.
  • 4. Computer-Generated Sequence

    A computer randomly generates a sequence of symbols. The circle graph shows the probability that the computer generates each of the symbols.

    Find the probability that the sequence occurs. (See Example 1 and Example 2.)

    Comments (0)

    These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.
    When posting a comment, you agree to our Terms of Use.

     __   __     ___      _  __   _    _    ______   
     \ \\/ //   / _ \\   | |/ // | || | || |      \\ 
      \   //   / //\ \\  | ' //  | || | || |  --  // 
      / . \\  |  ___  || | . \\  | \\_/ || |  --  \\ 
     /_//\_\\ |_||  |_|| |_|\_\\  \____//  |______// 
     `-`  --` `-`   `-`  `-` --`   `---`   `------`  
                                                     
    
    Showing 0 comments
    Subscribe by RSS
    There are no comments.
  • 5. Computer-Generated Sequence

    A computer randomly generates a sequence of symbols. The circle graph shows the probability that the computer generates each of the symbols.

    Find the probability that the sequence occurs. (See Example 1 and Example 2.)

    • Worked-Out Solution

      The probability that a given symbol is a plum is 6%. So, the probability that all three symbols are plums is

      In other words, if the computer generated three symbols 100,000 times, you would expect 3 plums to appear around 22 times.

    Comments (0)

    These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.
    When posting a comment, you agree to our Terms of Use.

      ____      ______    _____     ______    _  __  
     |  _ \\   /_   _//  / ____||  /_   _//  | |/ // 
     | |_| ||   -| ||-  / //---`'   -| ||-   | ' //  
     | .  //    _| ||_  \ \\___     _| ||_   | . \\  
     |_|\_\\   /_____//  \_____||  /_____//  |_|\_\\ 
     `-` --`   `-----`    `----`   `-----`   `-` --` 
                                                     
    
    Showing 0 comments
    Subscribe by RSS
    There are no comments.
  • 6. Computer-Generated Sequence

    A computer randomly generates a sequence of symbols. The circle graph shows the probability that the computer generates each of the symbols.

    Find the probability that the sequence occurs. (See Example 1 and Example 2.)

    Comments (0)

    These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.
    When posting a comment, you agree to our Terms of Use.

     __   __   _    _     ______    ______            
     \ \\/ // | || | ||  /_   _//  /_   _//     ___   
      \   //  | || | ||    | ||     -| ||-     /   || 
      / . \\  | \\_/ ||   _| ||     _| ||_    | [] || 
     /_//\_\\  \____//   /__//     /_____//    \__ || 
     `-`  --`   `---`    `--`      `-----`      -|_|| 
                                                 `-`  
    
    Showing 0 comments
    Subscribe by RSS
    There are no comments.
  • 7. Computer-Generated Sequence

    A computer randomly generates a sequence of symbols. The circle graph shows the probability that the computer generates each of the symbols.

    Find the probability that the sequence occurs. (See Example 1 and Example 2.)

    • Worked-Out Solution

      The probability that a given symbol is a seven is 2%. So, the probability that all three symbols are sevens is

      In other words, if the computer generated three symbols 100,000 times, you would expect 3 sevens to appear only once.

    Comments (0)

    These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.
    When posting a comment, you agree to our Terms of Use.

      ______   _    _     ______   _    _     _  __  
     /_   _// | || | ||  /_   _// | || | ||  | |/ // 
     `-| |,-  | || | ||  `-| |,-  | || | ||  | ' //  
       | ||   | \\_/ ||    | ||   | \\_/ ||  | . \\  
       |_||    \____//     |_||    \____//   |_|\_\\ 
       `-`'     `---`      `-`'     `---`    `-` --` 
                                                     
    
    Showing 0 comments
    Subscribe by RSS
    There are no comments.
  • 8. Slot Machine

    Complete the spreadsheet to find the expected value of each of the events in Exercises 1-7. Then find the probability that a given spin is a "no win." Suppose these symbols represent a slot machine game. What is the expected value? Explain your reasoning. (See Example 1 and Example 2.)

    Comments (0)

    These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.
    When posting a comment, you agree to our Terms of Use.

     __   __     ___                _____     ____    
     \ \\/ //   / _ \\      ___    |  ___||  |  _ \\  
      \   //   | / \ ||    /   ||  | ||__    | |_| || 
      / . \\   | \_/ ||   | [] ||  | ||__    | .  //  
     /_//\_\\   \___//     \__ ||  |_____||  |_|\_\\  
     `-`  --`   `---`       -|_||  `-----`   `-` --`  
                             `-`                      
    
    Showing 0 comments
    Subscribe by RSS
    There are no comments.