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anonymous

  • one year ago

Misha used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the tables below: Color of Marble Number of Times Rolled Blue 20 Green 18 Yellow 12 Heads Tails 28 22 Using Misha's simulation, what is the probability of pulling a blue marble and the coin landing tails up?

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  1. anonymous
    • one year ago
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    Answers 410/2500 440/2500 32/50 and 42/50

  2. anonymous
    • one year ago
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    MEDAL!!!

  3. jtvatsim
    • one year ago
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    Here's the plan: 1. Figure out the probability of getting a blue marble based on the tables. 2. Figure out the probability of getting tails on the coin based on the tables. 3. To get the probability of blue marble AND tails on the coin, we multiply our answers to step 1 and 2.

  4. anonymous
    • one year ago
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    uh ok

  5. jtvatsim
    • one year ago
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    So, let's drill into the first part. "Probability of getting a blue marble." How many blue marbles did Misha get? Look at the table to find this.

  6. anonymous
    • one year ago
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    20

  7. jtvatsim
    • one year ago
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    Perfect! Next, we need to know how many marbles TOTAL there were.

  8. anonymous
    • one year ago
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    50

  9. jtvatsim
    • one year ago
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    That's right! So, the probability of getting a blue marble is found by taking: blue/total = 20/50 = 0.4 We just finished step 1.

  10. anonymous
    • one year ago
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    ok

  11. jtvatsim
    • one year ago
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    Now, for step 2, we basically do the same thing. How many tails were there? How many coin flips total?

  12. anonymous
    • one year ago
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    22

  13. jtvatsim
    • one year ago
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    Good on the tails. And if I'm counting correctly, I think there are 50 coin flips total.

  14. anonymous
    • one year ago
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    yes your right

  15. jtvatsim
    • one year ago
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    So that gives us tails/total = 22/50 = 0.44 Step 2 is done. Almost finished!

  16. anonymous
    • one year ago
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    xd ok

  17. jtvatsim
    • one year ago
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    Now, to get the probability of both happening (AND), we need to multiply the probabilities (if you are doing an OR problem, you would add the probabilities): So, we just have 0.4 * 0.44 = 0.176.

  18. jtvatsim
    • one year ago
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    Unfortunately, they were mean and gave us fraction answers, but all we do is stick them in the calculator and see which one is 0.176.

  19. anonymous
    • one year ago
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    ok

  20. jtvatsim
    • one year ago
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    And, with some number punching....... Aha! Looks like it is 440/2500 = 0.176.

  21. anonymous
    • one year ago
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    oh ok yes thank you so much

  22. jtvatsim
    • one year ago
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    You are welcome. Nice work!

  23. anonymous
    • one year ago
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    ty you too here a medal

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