Gerardo has 3 blue shirts and w white shirts in his closet, and these are the only shirts in his closet. If Gerardo selects a shirt at random from his closet, which of the following gives the probability that Gerardo will select a white shirt?

The correct answer is:

Hint:
P (A) =
Step-by-step solution:-
In the given question,
Let the blue shirts be- B1, B2 & B3
and the white shirts be- W1, W2, W3,-------- Ww
Total possible outcomes when Gerardo selects a shirt at random from the closet-
S = (B1, B2, B3, W1, W2, W3,--------. Ww)
∴ n (S) = total number of blue shirts + total number of white shirts
∴ n (S) = 3 + w -------------------------  (Equation i)
Now, Probability of him selecting a white shirt = n (A) = w ----------------- (Equation ii)
∴ P (A) = 
∴ P (A) = --------------------- (Equation i & ii)
Final Answer:
Option A i.e.  is the correct Option.