Question

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)

Answer 1

Answer:1, 2, 4, 8, or 16 since each puppet has the same number of blue buttons and red buttons. so if we assume he allotted one red and one blue button for every puppet he can make 16 pupets as he have only 16 red button.

Answer 2

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