A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from

1.	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
Answer» 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) = \(\frac{n(E)}{n(S)}\) = \(\frac{5}{15}\) = \(\frac{1}{3}\)

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

Answer»

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) = \(\frac{n(E)}{n(S)}\) = \(\frac{5}{15}\) = \(\frac{1}{3}\)

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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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