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

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419. 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?


Number of red marbles = 5
Number of white marbles = 8
Number of green marbles = 4
Total number of marbles = 5 + 8 + 4 = 17
i.e.    n(s) = 17
(i) Let A be the favourable outcomes of getting red marble, then

            n(A) = 5
Therefore, P(A) = fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight s right parenthesis end fraction equals 5 over 17
(ii) Let B be the favourable outcomes of getting white marbles, then n(B) = 8

Therefore, P(B) = fraction numerator straight n left parenthesis straight B right parenthesis over denominator straight n left parenthesis straight s right parenthesis end fraction equals 5 over 17
(iii) Let C be the favourable outcomes of getting ‘not green’ marble, then

                 n(C) = 5 + 8 = 13

Therefore, P(C) = fraction numerator straight n left parenthesis straight C right parenthesis over denominator straight n left parenthesis straight s right parenthesis end fraction equals 13 over 17

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