Question
GeneralGeneralGeneral

Two distinct numbers a and b are selected randomly from 1 to 50. Find probability that ab is divisible by 3.

Verified Answer

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