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? asked in Education & ReferenceHomework Help · 9 years ago

Probability question!!!?

If you toss two standard six-sided dice, what is the proabablity that you will get a three on atleast one die?

I know the answer is not 1/3 (sorry to break it). Could you show your work

4 Answers

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  • Anonymous
    9 years ago
    Favorite Answer

    With one die, the probability is 1/6 obviously.

    With two dice, there are 36 possible outcomes; as one of them is 'TWO threes' and two times five ways to get ONE three, the answer is

    ( 2 x 5 + 1 ) / 36 = 11 / 36

    Or alternatively ( 2 x 6 - 1 ) / 36 of course.

    ( RAWR is correct, but .... actually LISTING the possible outcomes? MAN! ---- still, one thumby uppy )

  • Anonymous
    9 years ago

    It's actually pretty easy logic, you see, there are six sides on each side, but there's only two threes. So you write a fraction of 2(for the number of chances you could get a three from both dice) over 12(comes from twelve sides of both dice) Then you simplify and get 1/6, I think your answer is incorrect, you better double check it.

    Source(s): I'm in accelerated math!
  • 9 years ago

    Possible outcomes: 1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6 (36, 6*6)

    If you eliminate every possibility without a three in it anywhere, you get:

    1,3 2,3 3,1 3,2 3,3 3,4 3,5 3,6 4,3 5,3 6,3 (11 1*5 + 6)

    Your chances of rolling at least one three using two dice is roughly 11 / 36.

    Source(s): Algebra II student
  • Anonymous
    9 years ago

    how many possible outcome?

    any one of 21 outcomes (order is not important 2,1 is 1,2)

    1,1

    1,2

    1,3*

    1,4

    1,5

    1,6

    2,2

    2,3*

    2,4

    2,5

    2,6

    3,3*

    3.4*

    3,5*

    3,6*

    4,4

    4,5

    4,6

    5,5

    5,6

    6,6

    sucesses are

    3.1

    3,2

    3.3

    3,4

    3,5

    3,6

    p(at least 1 three) = 6/21 = 2/7

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