Question

If you roll two fair dice(one black die and one white die) in how many ways can you obtain a 2 on the black die?

Answer 1

The number of ways that you obtain a 2 on the black die is 6 ways.

If two fair dice(one black die and one white die) are rolled, in order to know the number of ways a 2 can be obtained on the black die, we will use the method of combination.

• Combination has to do with selection. Hence the way a 2 can be obtained on a black die is 6C1

• Note that a die has 6 faces and a 2 can only occur once in a toss.

Get the required number of ways:

$6C1 =\frac{6!}{(6-1)!1!}\\6C1=\frac{6!}{5!1!}\\6C1=\frac{6\times 5!}{5!}\\6C 1=6 ways$

Hence the number of ways that you obtain a 2 on the black die is 6 ways.

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