Assume you have applied for two scholarships, a Merit scholarship(M)
and an Athletic scholarship(A). The probability that you arecieve an
Athletic scholarship is 0.18. The probability of receiving both
scholarships is 0.11. The probability of getting at least one
scholarship is 0.3.

Q. What is the probability that you will receive a Merit scholarship ?

(please explain how you arrived at your answer)

The formula for the probability of the union of two events is:

P(a union b) = P(a) + P(b) - P(a intersection b)

You have three of the four quantities.  Solve for the fourth.

Thanks.... this works.....