Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.
A box contains 3 black and 5 white balls. A ball is drawn at random from the box.
Quantity A: Probability that the ball is black
Quantity B: Probability that the ball is whiteTotal number of balls in the box = 3 + 5 = 8
? A ball is drawn, Sample space = n(S) = 8C1 = 8
First we will find Quantity A,
Quantity A: Probability that the ball is black.
Quantity A = n(A)/n(S) = 3C1/8 = 3/8
Now,
Quantity B: Probability that the ball is white.
Quantity B = n(B)/n(S) = 5C1/8 = 5/8
∴ Quantity B > Quantity A