zMath 160  - Unit 35: Probability: Theoretical and Actual

Simple Probability

For problems #1 through #5 state, the probability (chance) of drawing the color of marble given. Write answer as a fraction.


1)

P(Orange)

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2)

P(Black)

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3)

P(White)

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4)

P(Green or Blue)

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5)

P(Blue or Pink or Yellow or White or Orange or Green)

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Theoretical Probability

For problems #6 through #9, state the theoretical probability for the spinner stopping on the color given . Write answer as a fraction.


6)

P(blue)

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7)

P(Gold)

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8)

P(Orange)

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9)

P(Purple or Rose)

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Theoretical Probability Compared to Actual Results

It’s your turn to test theoretical probability. Print out the chart. Find two coins. Toss them 100 times and record the outcomes in the chart below and then answer the questions #10 through #16.

Printable Theoretical Probability Chart


10)

What is the actual outcome of “two heads”? Write answer as a fraction and a decimal.


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11)

What is the actual outcome of a “head and a tail”? Write answer as a fraction and a decimal.


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12)

What is the actual outcome of “two tails”? Write answer as a fraction and a decimal.


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13)

Which actual outcomes approached (were close to) the theoretical probability


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14) Which actual outcomes did not approach (were not close to) the theoretical probability?

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15)

Look over your table; explain how and why you decided the actual outcomes and theoretical probability were close and/or different.


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16)

Suppose you tossed the two coins 1000 times a. Estimate how many times you would get “two heads” b. Estimate how many times you would get “two tails” c. Estimate how many times you would get the combination, “a head and a tail”.


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Review


17)

Mr. Turner’s sixth grade class made a survey for the school cafeteria. On Monday, 14 out of 30 students bought lunch. On Tuesday 9 of them bought lunch. On Wednesday one-third of the class bought lunch. School was closed on Thursday due to weather, but on Friday 7 students bought lunch. All students were present each day. What was the average number of students that bought lunch each day that the school was open?


A bag contains these marbles: 2 yellow, 6 red, 2 blue, 7 green, 3 white. Use this information to answer questions #18 – #20.


18)

If you picked a marble from this bag without looking, which color are you most likely to pick?


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19)

Which color are you least likely to pick?


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20)

What would you have to do to make the chances equally likely for drawing any of the colors in the bag?


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21)

Gina and Marty are selling tickets for the school dance. On Monday, they sold 15 tickets, on Tuesday 23, on Wednesday 20, and on Thursday 32. What was their average daily income if each ticket cost $2.00?


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22)

Tiffany is keeping track of her math scores. To date she has the following scores. What score must she earn on Test 5 for an average of 90?


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The middle school Candy Sales Project is summarized in the graph below. Use the graph to answer questions #23 – #25.


23)

On which day did both classes make the same amount of money?


24)

On which day was the difference in sales the greatest between the two classes?


25)

What was the total amount of sales brought in by both classes?


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