Probability Tyler And Maya

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Probability Tyler And Maya

  1. 1. Statistics of transportation saftey<br />By Maya Pitts <br />And <br />Tyler Holley<br />
  2. 2. What is Probability?<br />1. the quality or fact of being probable. <br />2. a strong likelihood or chance of something: The probability of the book&apos;s success makes us optimistic. <br />3. a probable event, circumstance, etc.: Our going to China is a probability. <br />4. Statistics. <br />a. the relative possibility that an event will occur, as expressed by the ratio of the number of actual occurrences to the total number of possible occurrences. <br />b. the relative frequency with which an event occurs or is likely to occur.<br />
  3. 3. TheoreticalProbability<br />P(E) =<br />=<br />n(E)<br />Number of outcomes in event E<br />n(S)<br />Total number of possible outcomes<br />
  4. 4. EmpiricalProbability<br />Observed number of times E occurs<br />P(E) =<br />Total number of observed occurrences<br />
  5. 5. Probability of Color<br />A spinner has 4 equal sectors colored yellow, blue, green and red. After spinning the spinner, what is the probability of landing on each color? <br />Outcomes:   The possible outcomes of this experiment are yellow, blue, green, and red.<br />Probabilities:  <br />P(yellow)  =  # of ways to land on yellow  =  1 total # of colors  4    <br />P(blue)  =  # of ways to land on blue  =  1 total # of colors  4    <br />P(green)  =  # of ways to land on green  =  1 total # of colors  4    <br />P(red)  =  # of ways to land on red  =  1 total # of colors  4  <br />
  6. 6. Probability of Marbles<br />A glass jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. If a single marble is chosen at random from the jar, what is the probability of choosing a red marble? a green marble? a blue marble? a yellow marble? <br />Outcomes:   The possible outcomes of this experiment are red, green, blue and yellow.<br />Probabilities:  <br /> P(red)  =  # of ways to choose red  =   6   =   3  total # of marbles 22 11   <br />P(green)  =  # of ways to choose green  =   5  total # of marbles 22   <br />P(blue)  =  # of ways to choose blue  =   8   =   4  total # of marbles 22 11   <br />P(yellow)  =  # of ways to choose yellow  =   3  total # of marbles 22 <br />
  7. 7. Probability of a die<br />A single 6-sided die is rolled. What is the probability of each outcome? What is the probability of rolling an even number? of rolling an odd number?<br />Outcomes:   The possible outcomes of this experiment are 1, 2, 3, 4, 5 and 6.<br /> Probabilities:   <br />P(1)  =  # of ways to roll a 1  =  1 total # of sides 6   <br />P(2)  =  # of ways to roll a 2  =  1 total # of sides 6   <br />P(3)  =  # of ways to roll a 3  =  1 total # of sides 6   <br />P(4)  =  # of ways to roll a 4  =  1 total # of sides 6   <br />P(5)  =  # of ways to roll a 5  =  1 total # of sides 6  <br />P(6)  =  # of ways to roll a 6  =  1 total # of sides 6  <br />P(even)  =  # ways to roll an even number  =  3  =  1 total # of sides 6 2   <br />P(odd)  =  # ways to roll an odd number  =  3  =  1 total # of sides 6 2 <br />
  8. 8. What are Statistics?<br />A numerical value, such as standard deviation or mean, that characterizes the sample or population from which it was derived.<br />the numerical facts or data themselves.<br />
  9. 9. Probability of Dying on a highway<br /><ul><li> 3,188,750/308,109,706 = .0103493981
  10. 10. P(not) = 308,109,706/308,109,706 –(3,188,750/308,109,706 ) = 304,920,956 </li></li></ul><li>Probability of dying on a train<br />11,643/308,109,706 = 3.78 x 10 ^-5<br />P(not) = 308,109,706/308,109,706 - 11,643/308,109,706 = 308,098,063 <br />
  11. 11. Work Cited<br />http://www.mathgoodies.com/LESSONS/VOL6/intro_probability.html<br />www.dictionary.com<br />http:www.bts.gov/press_releases/2009/bts056_09/html/bts056_09.html//<br />Thinking Mathematically<br />

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