Q20 of 128 Page 13

A bag contains 4 red, 5 black and 6 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is:

(i) white


(i) red


(iii) not black


(iv) red or white

Here, n(S) = 15

(i) n(E) = 6



(ii) n(E) = 4



(iii) number of events of getting black balls, n(E) = 5


∴ probability of getting black balls, P(E) =


Hence, probability of getting black balls = 1 – P(E) = 1 –


(iv) number of events of getting a red or white ball, n(E) = 10



More from this chapter

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18

If the probability of winning a game is 0.3, what is the probability of loosing it?

 19

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

 21

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability?

(i) that the sum of the two numbers that turn up is 8?


(ii) of obtaining a total of 6?


(iii) of obtaining a total of 10?


(iv) of obtaining the same number on both dice?


(v) of obtaining a total more than 9?


(vi) that the sum of the two numbers appearing on the top of the dice is 13?


(vii) that the sum of the numbers appearing on the top of the dice is less that or equal to 12?


(viii) that the product of numbers appearing on the top of the two dice is 2.


(ix) that the difference of the numbers appearing on the top of the two dice is 2.

 22

One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting:

(i) a king of red suit


(ii) a face card


(iii) a red face card


(iv) a queen of black suit


(v) a jack of hearts


(vi) a spade