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anonymous

  • one year ago

Two six sided dice (one is red, one is green) are rolled. Determined the following probabilities: 1) What is the probability that the red die is even and the green die is odd? That is, P(R=even∩G=odd) 2)What is the probability that the sum of the red and green values is 8 . 3) What is the probability that the sum of the red and green values is <7 ? That is, P(R+G<7). 4) What is the probability that red value is ≤ green value? That is, P(R≤G) 5) What is the probability that red value ≤ green and the green value is <6 ? That is, P(R≤G∩G<6)

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  1. anonymous
    • one year ago
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    1 is .25 do you know why?

  2. anonymous
    • one year ago
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    2 is 1/36

  3. anonymous
    • one year ago
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    no

  4. anonymous
    • one year ago
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    no sorry 7/36

  5. anonymous
    • one year ago
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    ok for number 1 do you know that if you have two independent probabilities you multiply them to find their combined probability?

  6. anonymous
    • one year ago
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    so the P(even dice roll)=.5 and P(odd dice roll)=.5 so .5•.5=.25

  7. anonymous
    • one year ago
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    there like 2 dice(6*6=36)

  8. anonymous
    • one year ago
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    i see, so is 1/4

  9. anonymous
    • one year ago
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    \[\frac{ 3 }{ 6 } \times \frac{ 3 }{ 6 }=?\]

  10. anonymous
    • one year ago
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    yea

  11. anonymous
    • one year ago
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    that solve the first part, is 1/4

  12. anonymous
    • one year ago
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    yea but i would use decimals unless it asks for fractions

  13. anonymous
    • one year ago
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    k

  14. anonymous
    • one year ago
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    ok so #2

  15. anonymous
    • one year ago
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    there are 36 total combinations and only 7 add up to 8

  16. anonymous
    • one year ago
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    so 7/36 would be the probability

  17. anonymous
    • one year ago
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    k

  18. anonymous
    • one year ago
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    sorry wait i didnt account for 1 so its 8/36 which can be simplified

  19. anonymous
    • one year ago
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    1,7 2,6 3,5 4,4 4,4 5,3 6,2 1,7

  20. anonymous
    • one year ago
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    those are the combos that add up to 8 for the red and green

  21. anonymous
    • one year ago
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    16/36?

  22. anonymous
    • one year ago
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    well no because there are 16 numbers but they come in pairs

  23. anonymous
    • one year ago
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    so?

  24. anonymous
    • one year ago
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    ya u are right

  25. anonymous
    • one year ago
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    {1,7} , so on

  26. anonymous
    • one year ago
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    yea

  27. anonymous
    • one year ago
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    ok so #2 is?

  28. anonymous
    • one year ago
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    2. 26,35,44,53,62 P=5/36

  29. anonymous
    • one year ago
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    ^^^^^

  30. anonymous
    • one year ago
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    but its 6 not 5 because th 4,4 repeats

  31. anonymous
    • one year ago
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    that solve second question

  32. anonymous
    • one year ago
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    yea

  33. anonymous
    • one year ago
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    correct.6/36

  34. anonymous
    • one year ago
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    so #3 do you know what to do??

  35. anonymous
    • one year ago
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    finding a numbers that is less that 7

  36. anonymous
    • one year ago
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    yea but combos like {1,5} so on

  37. anonymous
    • one year ago
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    but not =7 its <7

  38. anonymous
    • one year ago
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    ya i notice that

  39. anonymous
    • one year ago
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    12/36

  40. anonymous
    • one year ago
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    try again

  41. anonymous
    • one year ago
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    11,12,13,14,15,21,22,23,24,31,32,33,41,42,51first is G,second is Red same is first Red,second is Green P=30/36=5/6

  42. anonymous
    • one year ago
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    try to make a diagram or draw it

  43. anonymous
    • one year ago
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    already did

  44. anonymous
    • one year ago
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    i miss some numbers

  45. anonymous
    • one year ago
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    |dw:1444443620290:dw|

  46. anonymous
    • one year ago
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    so count all the numbers under the red and thats the combo totals

  47. anonymous
    • one year ago
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    so there is 15 total

  48. anonymous
    • one year ago
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    indeed already saw the answer from @surjithayer

  49. anonymous
    • one year ago
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    not 30

  50. anonymous
    • one year ago
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    well actualy no thats right it repeats

  51. anonymous
    • one year ago
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    so yea 30/36

  52. anonymous
    • one year ago
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    now part 4

  53. anonymous
    • one year ago
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    same thing just draw it out

  54. anonymous
    • one year ago
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    is 30/36 ?

  55. anonymous
    • one year ago
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    12/36 or

  56. anonymous
    • one year ago
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    4) is 7/6 5) 7/36

  57. anonymous
    • one year ago
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    sorry is 10/36 for the last part

  58. zepdrix
    • one year ago
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    I don't quite understand your fraction for part 4. 7/6? So you're saying the red die will be less than the green die over 100% of the time?

  59. anonymous
    • one year ago
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    i just simplify the number 16/36

  60. zepdrix
    • one year ago
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    Which does not simplify to 7/6... but anyway I think maybe you missed a few, hmm If a 1 is rolled on the red die, and we want the green to be greater than or equal to that, We can roll any number on the green die, ya? If a 2 is rolled on the red die, We can roll any number larger than a 1 on the green die. R1 G123456 R2 G 23456 R3 G 3456 R4 G 456 R5 G 56 R6 G 6 =6+5+4+3+2+1 I think that's 21 of the 36 combinations, isn't it? :o

  61. anonymous
    • one year ago
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    ya is 21/36 i guess i miss some calculation

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