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 P (multiple of 10), P (not 100), P (not a multiple of 4), P (one-digit number) ?

Number from 1 through 50. 50 possible numbers.

multiple of 10 : 10, 20, 30, 40, 50. 5 possible events.

multiple of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48. 12 possible events

one-digit number: 1, 2, 3, 4, 5, 6, 7, 8, 9. 9 possible events

P (multiple of 10) = 5/50 or 1/10

P (not 100) = 50/50 or 1

P (not a multiple of 4) = 38/50 or 19/25

P (one-digit number) = 9/50