Your answer should be 9/10
For this case we have that by definition of power properties it is fulfilled that:
Then, if we have the following expression:
Applying the property, we can rewrite the expression as:
Answer:
You have all five questions correct. Nice work
-------------------------------
Problem 1: There are 8 spaces labeled 1 though 8 so the proper sample space is {1,2,3,4,5,6,7,8} which is basically all the possible outcomes
Problem 2: There is one "3" out of 8 total, so 1/8 is the probability of landing on 3
Problem 3: There are 4 spaces that are even {2,4,6,8} out of 8 total {1,2,3,4,5,6,7,8}. So 4/8 = 1/2
Problem 4: There are 4 blue out of 3+5+4 = 12 total, so 4/12 = 1/3
Problem 5: We got 24 red out of 40 total, so 24/40 = 3/5
