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Math Help - Math question help...........?

  1. #1
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    Math question help...........?

    Five dice colored (with different colors - blue,green,red,while,black). What is the number of possible outcomes
    a.altogether.
    b.in which at least one die shows6?
    c.in which exactly one die shows6?
    d.what is the number of possible outcomes exactly one die shows 6 and all the dice have same color?
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  2. #2
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    Hello, tukilala!

    Five dice with different colors: blue, green, red, while, black.
    I must assume that all five dice are rolled at once.

    What is the number of possible outcomes

    (a) altogether?
    Each die has six outcomes.

    Therefore: . 6^5 \:=\:7776 possible outcomes.




    (b) in which at least one die shows 6?

    The opposite of "at least one 6" is "no 6s."

    There are: . 5^5 \:=\:3125 outcomes with no 6s.

    Therefore: . 7776 - 3125 \:=\:4651 outcomes with at least one 6.




    (c) in which exactly one die shows 6?

    There are 5 choices of a die to show the 6.

    The other 4 dice must show one of the other numbers: . 5^4 = 625 ways.

    Therefore: . 5\cdot5^4 \:=\:3125 ways to get exactly one 6.




    (d) What is the number of possible outcomes exactly one die shows 6
    and all the dice have same color? . . . . what?

    P(\text{one 6 and all the same color}) \:=\:0

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  3. #3
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    D

    I meen in question D, that there is no different between the all 5 dice because they are same color
    so........ how can i solve it now???
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