Q21 of 25 Page 15

Red queens and blackjacks are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the card is drawn is

(i) a king


(ii) of red colour


(iii) a face card


(iv) a queen

Concept Used:



Explanation:


Total number of possible outcomes, n(S) = 52 – 2 – 2 = 48


(i) Number of favourable outcomes, n(E) = 4



(ii) Number of favourable outcomes, n(E) = 24



(iii) Number of favourable outcomes, n(E) = 12 – 4 = 8



(iv) Number of favourable outcomes, n(E) = 2



More from this chapter

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19

A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, determine the number of blue balls in the bag.

 20

In class, there are 18 girls and 16 boys. The class teacher wants to choose one pupil for a class monitor. What she does, she writes the name of each pupil on a card and puts then into a basket and mixes thoroughly. A child is asked to pick one card from the basket. What is the probability that the name is written on the card is:

(i) the name of a girl


(ii) the name of a boy

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A box contains 12 balls out of which x are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball?

If 6 more black balls are put in the box, the probability of drawing a black ball is now double of what it was before. Find x.

 23

A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the card thoroughly. Find the probability that the number on the drawn card is

(i) an odd number


(ii) a multiple of 5


(iii) a perfect square


(iv) an even prime number.