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Pulsified333

  • one year ago

Two Fair die are rolled. What is the probability of one of the dice showing 5 or the sum being at least 8?

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  1. random231
    • one year ago
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    write down the cases in which the sum can be 8 with one of them being 5

  2. Pulsified333
    • one year ago
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    okay should I include (5,3) and (3,5)

  3. Pulsified333
    • one year ago
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    or no repeats

  4. random231
    • one year ago
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    you include both

  5. Pulsified333
    • one year ago
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    okay I did that

  6. random231
    • one year ago
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    arent you getting the answer?

  7. Pulsified333
    • one year ago
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    it says a sum of at least 8

  8. random231
    • one year ago
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    oops yeah so inluse(5,4) (4,5), (5,5) (5,6)(6,5)

  9. Pulsified333
    • one year ago
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    okay I did that and there are a total 15 ways to make a sum of at least 8

  10. kropot72
    • one year ago
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    "okay I did that and there are a total 15 ways to make a sum of at least 8" That is correct. It is necessary to avoid double counting, therefore the next step is to find out how many occurrences of 5 there are on one of the dice where the sum of the numbers on the pair is less than 8.

  11. Pulsified333
    • one year ago
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    There are two, but does (5,5) count or no because its on two die?

  12. kropot72
    • one year ago
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    There are more than two. Also (5, 5) does not count because it is already in the total of the 15 ways to make at least 8.

  13. Pulsified333
    • one year ago
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    are there four?

  14. kropot72
    • one year ago
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    Yes, four: (2, 5) (1, 5) (5,2) (5,1).

  15. Pulsified333
    • one year ago
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    okay, so now what?

  16. kropot72
    • one year ago
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    So the total number of ways to get one of the dice showing 5 or the sum being at least 8 (without double counting) is 15 + 4 = 19 ways. What is the value of the sample space?

  17. Pulsified333
    • one year ago
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    what do you mean the value of the sample space?

  18. kropot72
    • one year ago
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    The sample space has 36 possible combinations of numbers.

  19. Pulsified333
    • one year ago
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    oh okay. Now i know what you mean

  20. Pulsified333
    • one year ago
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    so its 19/36?

  21. kropot72
    • one year ago
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    Yes, you are correct.

  22. Pulsified333
    • one year ago
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    OMG thank you so much, I've been stuck on that problem for over an hour :D. You are a lifesaver xD

  23. kropot72
    • one year ago
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    You're welcome :)

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