Each die has six outcomes.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 …
Therefore: . possible outcomes.
(b) in which at least one die shows 6?
The opposite of "at least one 6" is "no 6s."
There are: . outcomes with no 6s.
Therefore: . 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: . ways.
Therefore: . 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?