what is the probability you roll doubles on two 6 sides dice please show work

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what is the probability you roll doubles on two 6 sides dice
please show work

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Mộc Miên 2 months 2021-08-01T21:37:24+00:00 1 Answers 0 views 0

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    2021-08-01T21:39:08+00:00

    Answer:

    1/6

    Step-by-step explanation:

    We can start by determining all the different combinations we can get.

    We are using 6 sided dices, so we have a chance of getting 6 different numbers for each dice.

    If we only have 1 dice, the our possible values would be:

    1, 2, 3, 4, 5, 6

    However, we have 2 dices. As such, our combinations have been multiplied, and now our possibilities are:

    (1 , 1) , (1 , 2) , (1 , 3) , (1 , 4) , (1 , 5) , (1 , 6) , (2 , 1) , (2 , 2) , (2 , 3) , (2 , 4) , (2 , 5) , (2 ,6), and so on for 3, 4, 5, and 6

    We can find the number of combinations by simply multiplying the amount of possible values for each dice.

    Since both dices have 6 possible values, we multiply 6 by 6, and the amount of possible combinations is 36.

    Now, let’s determine the possibility for getting a double.

    First, let’s determine how many doubles we can get:

    (1 , 1) , (2 , 2) , (3 , 3) , (4 , 4) , (5 , 5) , (6 ,6)

    There are 6 different combinations for rolling a double.

    So, our probability of rolling a double on two 6 sided dices is 6 out of 36

    We can simplify that to 1 out of 6.

    So the probability of rolling a double on two 6 sided dices is 1/6

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