A number is chosen at random from the set (1, 2, 3, 120). What is the probability that the number chosen is divisible by 6 or 8 but not divisible by 24?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. .
Numbers from 1 to 120:
Number divisible by 6 = 120/6 = 20
Number divisible by 8 = 120/8 = 15
Number divisible by 24 (LCM of 6 and 8) = 120/24 = 5
Divisible by 6 or 8 = 20 + 15 – 5 = 30
Numbers divisible by 6 or 8 but not 24 = 30 – 5 = 25
Total numbers = 120
Probability = 25/120