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:
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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Total no. of possible outcomes = 15
{5 black, 7 red & 3 white balls}
(i) E ⟶ event of drawing red ball
No. of favorable outcomes = 7 {7 red balls}
Probability, P(E) = (No.of favorable outcomes)/(Total no.of possible outcomes)
P(E) = 7/15
(ii) E ⟶ event of drawing black or white
No. of favourable outcomes = 8 {5 black & 3 white}
P(E) = 8/15
(iii) E ⟶ event of drawing black ball
No. of favourable outcomes = 5 {5 black balls}
P (E) = 5/15 = 1/3
Bar E⟶event of not drawing black ball
P (Bar E)=1−P(E)
= 1 − 1/3 = 2/3
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