Q11 of 36 Page 126

There are six cards in a box, each bearing a number from 0 to 5. Find the probability of each of the following events, that a card drawn shows,

(1) a natural number.


(2) a number less than 1.


(3) a whole number.


(4) a number is greater than 5.

(1) Probability that card drawn shows natural number,


p(N) =


p(N)=


(2) Probability that card drawn shows a number less than 1,


p(L) =


p(L)=


(3) Probability that card drawn shows a whole number,


p(W) =


p(W)=


(4) Probability that card drawn shows a number is greater than 5,


p(W) =


p(W)=


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9

Length and breadth of a rectangular garden are 77 m and 50 m. There is a circular lake in the garden having diameter 14 m. Due to wind, a towel from a terrace on a nearby building fell into the garden. Then find the probability of the event that it fell in the lake.

 10

In a game of chance, a spinning arrow comes to rest at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8.

All these are equally likely outcomes.


Find the probability that it will rest at


(1) 8.


(2) an odd number.


(3) a number greater than 2.


(4) a number less than 9.


 12

A bag contains 3 red, 3 white and 3 green balls. One ball is taken out of the bag at random. What is the probability that the ball drawn is -

(1) red.


(2) not red


(3) either red or white.

 13

Each card bears one letter from the word ‘mathematics’ The cards are placed on a table upside down. Find the probability that a card drawn bears the letter ‘m’.