SOLUTION: Is it A? I want to check my answers. Katie creates a game in which 3 dimes are flipped at the same time. 5 points are awarded if all 3 dimes land on tails, but no points are

Algebra ->  Probability-and-statistics -> SOLUTION: Is it A? I want to check my answers. Katie creates a game in which 3 dimes are flipped at the same time. 5 points are awarded if all 3 dimes land on tails, but no points are      Log On


   

Question 1160929: Is it A? I want to check my answers.
Katie creates a game in which 3 dimes are flipped at the same time.
5 points are awarded if all 3 dimes land on tails, but no points are awarded for anything else. What is the probability of not getting any points? (Hint: Find the complement).
A. 0.875
B. 0.9875
C. 0.125
D. 0.5

The question is provided in the question here: https://i.imgur.com/akxp9Sh.png
Answer by saw(34) About Me  (Show Source):
You can put this solution on YOUR website!
Solution.
Let head be H and tail be T.
Total outcomes
HHH
HHT
HTH
HTT
TTT
TTH
THT
THH
Favorable outcomes
HHH
HHT
HTH
HTT
TTH
THT
THH
P(A) = probability of an event "A"
n(F) = number of favorable outcomes
n(T) = number of total outcomes
P(A) = n(F)/n(T)
P(A) = 7/8 = 0.875
So the answer is A.