There are 3 red, 3 white and 3 green balls in a bag. One ball is drawn at random from a bag : P is the event that ball is red. Q is the event that ball is not green. R is the event that ball is red or white.


(iv) There are 3 red, 3 white and 3 green balls in a bag. One ball is drawn at random from a bag :
P is the event that ball is red.
Q is the event that ball is not green.
R is the event that ball is red or white.

Sol. Let 3 red balls, 3 white balls and 3 green balls be denoted as R1R2, R3, W1, W2, W3 and G1, G2, G3 respectively.

P is the event that the ball is red
P = { R1, R2, R3 }
∴  n (P) = 3

Q is the event that the ball is not green
Q = { R1, R2, R3, W1, W2, W3 }
∴  n (Q) = 6

R is the event that the ball is red or white
R = { R1, R2, R3, W1, W2, W3 }

∴  n (R) = 6

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