Question

Tickets are numbered from 1 to 100. A ticket is picked up at random. What is the probability
that the number on the ticket is a multiple of 4 or 7.
17/50
b. 9/25
c. 7/100
d. 53/100​

Answer 1

Total number of possible outcomes = 100

Multiples of 4 between 1 to 100 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100.

Multiples of 7 between 1 to 100 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98.

Multiples of 4 or 7 between 1 to 100 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 7, 14, 21, 35, 42, 49, 63, 70, 77, 91, 98.

Count of numbers that are multiples of 4 or 7 = 36.

Favorable outcomes = 36

Probability = 36 / 100 = 18 / 50 = 9 / 25 .

Option (b) 9/25

is the correct answer :)