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Question

In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

Options:
A .  \(\frac{1}{3}\)
B .  \(\frac{3}{4}\)
C .  \(\frac{7}{19}\)
D .  \(\frac{8}{21}\)
E .  \(\frac{9}{21}\)
Answer: Option A

Total number of balls = (8 + 7 + 6) = 21.


Let E = event that the ball drawn is neither red nor green


 = event that the ball drawn is blue.


So, n(E) = 7.


So, \(P(E) = \frac{n(E)}{n(S)}=\frac{7}{21}=\frac{1}{3}.\)


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