Two distinct numbers a and b are selected randomly from 1 to 50. Find probability that ab is divisible by 3.
Solution:
Numbers divisible by 3 from 1 to 50:
= 16
Numbers not divisible by 3:
= 34
Total ways:
50C2 = 1225
Ways product is NOT divisible by 3:
34C2 = 561
Required ways:
1225 − 561 = 664
Probability:
664/1225
Answer: 664/1225