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.S is the sample space.Which of the following options is correct ?

Engineering

Mathematics

Basic Definitions Related to Probability

Question

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.

S is the sample space.

Which of the following options is correct ?

n(S) = 9, n(P) = 3, n(Q) = 6, n(R) = 6

n(S) = 4, n(P) = 3, n(Q) = 6, n(R) = 6

n(S) = 6, n(P) = 3, n(Q) = 6, n(R) = 6

n(S) = 7, n(P) = 3, n(Q) = 6, n(R) = 6

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There are 3 red balls, 3 white balls and 3 green balls.
Thus, total number of balls = 9, n(S) = 9
P, the ball is red, n(R) = 3
Q, the ball is not green, n(Q) = 9 − 3 = 6
R, the ball is red or white, n(R) = 3 + 3 = 6