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A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be 

(i) red ? 

(ii) white ? 

(iii) not green ?

1 Answer

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Best answer

A box contains 5 red marbles, 8 white marbles and 4 green marbles.

∴ Total number of marbles, n(S) 

= 5 + 8 + 4 = 17 

(i) Probability that the 1 red marble drawn is n(A) = 5 

∴ Probability, P(A) = \(\frac{n(A)}{n(S)} = \frac{5}{17}\)

(ii) Possibility that 1 white marble drawn, n(B) = 8 

∴ Probability, P(B) = \(\frac{n(B)}{n(S)} = \frac{8}{17}\)

(iii) Possibility that 1 not green marble ? 

P(C) = 17 – 4 = 13 (∵ Except 4 green marbles) 

∴ Probability, P(C) = \(\frac{n(c)}{n(S)} = \frac{13}{17}\)

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