Nicole has a machine that will produce a number from 1 through 50 when she pushes a button. if she
pushes the button, what is:
a. p(multiple of 10)?
b. p(not 100)?
c. p(not a multiple of 4)?
d. p(one-digit number)

Total outcome is 50 [because the number produced by the machine is from 1 to 50]

Question a:

Multiple of 10 are 10, 20, 30, 40, 50
There are five possible outcomes for multiple of 10
P(Multiple of 10) = 5/50 = 1/10

Question b:

Number 1 to 50 will be all the outcomes that are not 100
There are 50 possible outcomes
P(not 100) = 50/50 = 1

Question c:

Multiple of 4 that are less than 50 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48
There  are 12 possible outcomes for multiple of 4
We want 'not multiple of 4' so we need to do 50 - 12 = 38 outcomes
P(not a multiple of 4) = 38/50 = 19/25

Question d:

One digit numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9
There are 9 possible outcomes
P(one-digit number) = 9/50