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anonymous

  • one year ago

Henry rolls 2 number cubes numbered 1 through 6 while playing his favorite board game. He will get a second turn if he rolls a sum that is an even number less than 10. What are Henry's chances of getting a second turn when he rolls the number cubes? 7/18 11/18 5/36 17/36 I got 5/18. I added up the amount of different ways to get 2-8. I found 10. Either the test is wrong or I'm really bad at counting, and I'm not confident enough to count either of them out.

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  1. lucaz
    • one year ago
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    only less than? not 'less than or equal to' ?

  2. kropot72
    • one year ago
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    The sample space has 36 possible combinations of numbers. These can be set out in column form as follows: 6,6 5,6 4,6 3,6 2,6 1,6 6,5 5,5 4,5 3,5 2,5 1,5 6,4 5,4 4,4 3,4 2,4 1,4 6,3 5,3 4,3 3,3 2,3 1,3 6,2 5,2 4,2 3,2 2,2 1,2 6,1 5,1 4,1 3,1 2,1 1,1 I get 1 in the first row, 2 in the second row, 2 in the third row, 3 in the fourth row, 3in the fifth row and 3 in the sixth row.

  3. kropot72
    • one year ago
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    That makes 14 pairs out of 36 possible pairings.

  4. anonymous
    • one year ago
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    I don't know if the count duplicates, like 4+2 and 2+4. I didn't.

  5. anonymous
    • one year ago
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    *they

  6. kropot72
    • one year ago
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    Yes, 4+2 and 2 + 4 are counted. Strictly they are not duplicates, the reason being the order is reversed.

  7. anonymous
    • one year ago
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    Okay. Thank you! I've taken a test twice now (this is my last chance), and both times I got this type of question wrong. Thank you for your help!

  8. anonymous
    • one year ago
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    It was correct! Thank you again!

  9. kropot72
    • one year ago
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    You're welcome :) Hint: Remember to simplify the fraction.

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