In a game, if you roll a 6 on a 6-sided number cube, you lose a turn. (a) what is the probability that you roll a 6? explain your reasoning. (b) what is the probability that you don’t roll a 6? explain your reasoning. (c) what is the probability that you either roll a 6 or do not roll a 6? explain your reasoning. (d) suppose you rolled the 6-sided number cube 120 times, how many times would you expect to roll a 6? explain.

A) the probability is 1 in 6 (1/6); there are six numbers and only one is 6, therefore 1 in 6
B) the probability is 5 in 6 (5/6); there are 6 numbers and only one is not 6, therefore 5 in 6
C) the probability of rolling a 6 is 1 in 6 and the probability of not rolling a 6 is 5 in 6
D) the probability is again 1 in 6 (1/6); 120 divided by 6 is 20, and 20/120 simplifies to 1/6
thats the best i can do to explain

Final simplified form is
Step-by-step explanation:
We have been given an expression
Now we need to simplify and check which choice matches with simplified form of .
You missed to provide the choices but still we simplify that.

When there is negative sign inside square root then we replace that by "i" iota.

Hence final simplified form is

Read more on -