Question

Cards marked with numbers 14 to 99 are placed in a box and mixed thoroughly and a card is drawn.Find probability that a number divisible by 4 or 6

Answer 1

Step-by-step explanation:

Total cards = 86

Number divisible by 4 or 6

Total number of numbers between 14 and 99 divisible by 4 or 6 = 21

[16,20,.....96]

Total number of numbers divisible by 6 in this range = 14

[18,24,30...96]

Total number of numbers divisible by both 6 and 4 = 4

[24,48,72,96]

Hence number of favorable outcomes of numbers either divisible by 4 or 6 is = 21 + 14 - 4 = 31

Probability = 31/86