Question

nicole has a machine that will produce a number from 1 through 50 when she pushes a button. p(multiple of 10)? A. p(not 100)? B. p( not multiple of 4) ? C. p( one digit number)?

Answer 1

Nicole has a machine that will produce a number from 1 through 50 when she pushes a button. p(multiple of 10)? A. p(not 100)? B. p( not multiple of 4) ? C. p( one digit number)?
a) the possibilities that the number will be a multiple of 10 are:
favorable cases: 5 (there are 5 numbers that are multiples of 10 from 1 to 50: 10, 20, 30, 40, 50)
possible cases: 50 (there are 50 numbers from 1 to 50)
possibilities that the number will be a multiple of 10:
`(5)/(50)`⁽₅ =
`(1)/(10)`

there are 10% that the number which will be produced after Nicole will push the button will be a multiple of 10

b) the possibilities that the number won't be 100
favorable cases = 50 (no number from 1 to 50 is 100)
possible cases = 50 (there are 50 from 1 to 50)
possibilities that the number won't be 100:
`(50)/(50)`⁽⁵⁰ =
`(1)/(1)`

there are 100% that the number which will be produced after Nicole will push the button won't be 100

c) the possibilities that the number won't be a multiple of 4
favorable cases: 50 - 12 = 38 (12 numbers from 1 to 50 are multiples of 4)
possible cases: 50
possibilities that the number won't a multiple of 4:
`(38)/(50)`

there are 76% that the number which will be produced after Nicole will push the button won't be a multiple of 4 d) the possibilities that the number will be an one digit number
favorable cases: 9 (there are 9 one digit numbers from 1 to 50) possible cases: 50 (there are 50 numbers from 1 to 50) possibilities that the number will be an one digit number:
`(9)/(50)`
there are 18% that the number which will be produced after Nicole will push the button will be an one digit number