A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is:
(i) red
(ii) black or white
(iii) not black
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Sample space, n(S) = 15
(i) n(E) = 7
∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{7}{15}\)
(ii) n(E) = 10
∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{8}{15}\)
(iii) n(E) = 5
∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{5}{15}\) = \(\frac{1}{3}\)