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 the probability of:

a. P(multiple of 10)

b. P(not 100)

C. P (not a multiple of 4)

d. P (one-digit number)?​

Answer 1

Answer: 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

Answer 2

Answer: See below

Explanation:

Test 1:

5 numbers that are a multiple of 10

Total amount of numbers = 50

Probability = 10/50

P = 1/5 or 20%

Test 2:

None of the numbers from 1 to 50 are 100, so obviously the probability will be 1 or 100%

Test 3:

12 multiples of 4 in all 50 numbers, since we want numbers that are not multiples of 4 we subtract the total number of them from 50

50 - 12 = 38

Probability = 38/50

P = 19/25 or 76%

Test 4:

There are 9 one-digit numbers in total

Probability = 9/50

P = 9/50 or 18%