# Aptitude | Probability | Question 9

A box having 5 black and 3 brown flags. Another box having 4 black and 6 brown flags. If one flag is drawn from each box.

Find the probability that both flags are of different color.

**(A)** 21/40**(B)** 10/19**(C)** 3/8**(D)** 3/10**Answer:** **(A)****Explanation:**

Box 1 consists of 5 black and 3 brown flags.

Box 2 consists of 4 black and 6 brown flags.

So if we select black flags from box 1 we have to select brown flags from box2 according to the question and probability of that is

P1= 5/8 * 6/10

If we select brown flags from box 1 we have to select black flags from box2 according to the question and probability of that is

P2=3/8 * 4/10

So the answer is P1+P2= 21/40