you have the numbers 125 written on slips of paper if you ch

you have the numbers 1-25 written on slips of paper. if you choose one slip, what is the probability that you will select a number that is divisible by 4?
A. 1/5 B.6/25 C.4/25 D.2/3

you have the numbers 1-24 written on slips of paper. if you choose one slip, what is the probability that you will not select a number that is divisible by 3
A.3/8 B.1/3 C.5/8 D.2/3

Solution

1 ) Given that

n( s ) = 25

Numbers divisible by 4 = { 4 , 8 , 12 , 16 , 20 , 24 }

n( e ) = 6

Probability of selecting a number that is divisible by 4 = n(e) / n(s)

= 6 / 25

Therefore,

  Probability of selecting a number that is divisible by 4 = 6 / 25

2 ) Given that

n(s) = 24

  Numbers divisible by 3 = { 3 , 6 , 9 , 12 , 15 , 18 , 21 , 24 }

n( e ) = 8

Probability of selecting a number that is not divisible by 3 = 1 - [ n( e ) / n( s ) ]

= 1 - 8/24

= 16 / 24

= 2 / 3

Therefore,

   Probability of selecting a number that is not divisible by 3 = 2 / 3