Total number of discs = 90.
Out of the given numbers, prime numbers less than 23 are 2, 3, 5, 7, 11, 13, 17 and 19.
Numbers of favourable outcomes = 8.
∴ P(getting a prime number which is less than 23) =
=
Thus, the probability that the disc bears prime number less than 23 is .
Disclaimer: There is a misprinting in the question. If they ask for the probability of all prime numbers less than 90, then we get .
Hence, the correct answer is option (c).