Q36 of 128 Page 13

A bag contains 8 red, 6 white and 4 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is

(i) red or white


(ii) not black


(iii) neither white or black

Total number of possible outcomes, n(S) = 18


(i) Number of favorable outcomes, n(E) = 14



(ii) Number of events of getting a black ball, n(E) = 4



Probability of not getting a black ball = 1 – P(E)



(iii) Number of favorable outcomes, n(E) = 8



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A bag contains 5 red, 8 white and 7 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is (i) red or white (ii) not black (iii) neither white nor black.

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Find the probability that a number selected from the number 1 to 25 is not a prime number when each of the given numbers is equally likely to be selected.

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Find the probability that a number selected at random from the numbers 1, 2, 3,…, 35 is a

(i) prime number


(ii) multiple of 7


(iii) a multiple of 3 or 5

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From a pack of 52 playing cards Jacks, queens, kings and aces of red colour are removed. From the remaining, a card is drawn at random. Find the probability that the card drawn is

(i) a black queen


(ii) a red card


(iii) a black jack


(iv) a picture card (Jacks, queens and kings are picture cards).