Question

Grant is rolling a standard six sided number die eight times. how many outcomes are possible

Answer 1

There are 1679616 possible outcomes.

There are 6 possible outcomes for each roll; 6^8 = 1679616

Answer 2

We have been given that Grant is rolling a standard six sided number die eight times and we have to find the total number of outcomes.

Grant is rolling six sided number die. Hence, we can say that

Number of outcomes if rolled once = 6

Number of outcomes if rolled twice =
`6* 6= 6^2`

Number of outcomes if rolled thrice=
`6* 6 * 6= 6^3`

We can see that if rolled twice then we have exponent 2, when rolled trice then we have an exponent 3.

Hence, if rolled 8 times then we have an exponent 8 on 6.

Therefore, the possible number of outcomes should be
`6^8= 1679616`

Hence, the number of possible outcomes is 1679616