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nay

  • 3 years ago

consider rolling two dice.what is the probability that the sum is odd given that one dice shows a 3?

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  1. julie
    • 3 years ago
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    well, you could brute force this

  2. julie
    • 3 years ago
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    so assuming it's a six sided dice...

  3. julie
    • 3 years ago
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    there are six possibilities for the other die

  4. julie
    • 3 years ago
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    3+1 = 4 [even] 3+2 = 5 [odd] 3+ 3 = 6 [even] 3+ 4 = 7 [odd] 3 + 5 = 8 [even] 3 + 6 = 9 [odd]

  5. julie
    • 3 years ago
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    so you know the roll of one of the dice is a three

  6. julie
    • 3 years ago
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    looks to me there are 3 options that get you odd, 3 that give you even

  7. julie
    • 3 years ago
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    in sum

  8. julie
    • 3 years ago
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    (so 3/6 possibilities for the second die to make an odd number) = 50%

  9. nay
    • 3 years ago
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    ohhhhh ok i get it

  10. julie
    • 3 years ago
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    that's generally how these work - you want to consider <success case>/<total possibilities> - especially given all possibilities are equally likely e.g. a fair die

  11. nay
    • 3 years ago
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    oh wow i wish my teacher would have put it that way

  12. julie
    • 3 years ago
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    good to hear, good luck!

  13. nay
    • 3 years ago
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    thanks goin

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