probability - deepak sir...15) a box contains 25 cards numbered from 1 to 25. a card is drawn from...

PROBABILITY WORKSHEET NO--1

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PROBABILITY

Case of cards



Case of two die

Case of coins



1) Fill in the blanks:

A. The probability of an impossible event is

B. The probability of a sure event is

C. P(getting a red eard or a king) = P(E)

D. For any event E, P(E) + P (not E) =

E. The probability of a possible but not a sure event lies between . and

F. The sum of probabilities of all the outcomes of an experiment is.

2) A coin is tossed once. What is the probability of getting a tail?

3) A die is thrown once. Find the probability of getting:

A. an even number

B. a number less than 5

C. a number greater than 2

D. a number between 3 and 6

E. a number other than 3

F. the number 5

4) Two coins are tossed simultaneously. Find the probability of getting:

(i) exactly one head

(ii) at most one head

(iii) no tail

5) Three coins are tossed simultaneously. What is the probability of getting at least two heads?

6) It is known that a box of 200 electric bulbs contains 16 defective bulbs. One bulb is taken out

at random from the box. What is the probability that the bulb drawn is

(i) defective

(ii) non-defective?

7) 250 lottery tickets were sold and there are 5 prizes on these tickets. If Kunal has purchased

one lottery ticket, what is the probability that he wins a prize?

8) A bag contains 5 white, 6 red and 4 green balls. One ball is drawn at random from the bag.

What is the probability that the ball drawn is

(i) green (ii) white (iii) non-red?

9) A bag contains 3 red, 5 black and 7 white balls. One ball is drawn at random from the bag.

What is the probability that the ball drawn is

(i) white, (ii) red,(iii) not red, (iv) red or white?

10) A bag contains 7 black, 5 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. [CBSE 2004]

11) A bag contains 7 red, 5 white and 3 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. [cbse 2005]

12) A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue balls. One ball is drawn at

random from the bag. What is the probability that the ball drawn is

(i) white or blue (ii) red or black (iii) not white(iv) neither white nor black. [2006]

13) Find the probability that a number selected at random from the numbers 1 to 25 is not a

prime number when each of the given numbers is equally likely to be selected.

14) There are 30 cards numbered from 1 to 30. One card is drawn at random. Find the probability

that the number of the selected card is not divisible by 3. [cbse 2005]



15) A box contains 25 cards numbered from 1 to 25. A card is drawn from the box at random.

Find the probability that number on the drawn card is (i) even (ii) prime (iii) multiple of 6.

16) A box contains 19 balls bearing numbers 1, 2, 3, ..., 19 respectively. A ball is drawn at

random from the box. Find the probability that the number on the ball is [cbse 2006]

(i) a prime number (ii) divisible by 3 or 5 iii) neither divisible by 5 nor by 10

iv) an even number.

17) A box contains 20 balls bearing numbers 1, 2, 3, ..., 20 respectively. A ball is drawn at

random from the box. What is the probability that the number on the ball is

(i) an odd number (ii) divisible by 2 or 3

(iii) a prime number (iv) not divisible by 10. [cbse 2006]

18) 15 cards numbered 1, 2, 3, 4, ..., 14, 15 are put in a box and mixed thoroughly. A man draws

a card at random from the box. Find the probability that the number on the card is

(i) an even number (ii) a prime number

(iii) divisible by 3 (iv) divisible by 2 and 3.

19) Tickets numbered 2, 3, 4, 5,..., 100,101 are placed in a box and mixed thoroughly. One ticket

is drawn at random from the box. Find the probability that the number on the ticket is

A. an even number

B. a number less than 16

C. a number which is a perfect square

D. a prime number less than 40.

20) A bag contains 4 white and some red balls. If the probability of drawing a red ball is double

that of drawing a white ball, find the number of red balls in the bag.

21) If the probability of winning a game is 0.6, what is the probability of losing it?

22) One card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing

(i) an ace (ii) a '4' of spades

(iii) a '9' of a black suit (iv) a red king.

23) Find the probability of getting 53 Fridays in a leap year. [cbse 2004c]

24) Out of 400 bulbs in a box, 15 bulbs are defective. One bulb is taken out at randqm from the

box. Find the probability that the drawn bulb is not defective. [cbse 2004c]

25) A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability that

the card drawn is neither a red card nor a queen. [cbse 2005]

26) A card is drawn at random from a pack of 52 playing cards. Find the probability that the card

drawn is neither a queen nor a jack. [CBSE 2004c]

27) A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability of

getting [cbse 2003]

(i) a queen (ii) a diamond

(iii) a king or an ace (iv) a red ace.

28) A card is drawn at random from a well-shuffled deck of playing cards. Find the probability

that the card drawn is [cbse 2006]

(i) a card of spades or an ace (ii) a red king (iii) either a king or a queen (iv) neither a king

nor a queen.

29) Cards marked with numbers 13,14,15,..., 60 are placed in a box and mixed thoroughly. One

card is drawn at random from the box. Find the probability that the number on the drawn card

is (i) divisible by 5 (ii) a number which is a perfect square. [cbse 2007]



30) The king, the queen, the jack and 10, all of spades are lost from a pack of 52 playing cards. A

card is drawn from the remaining well-shuffled pack. Find the probability of getting a (i) red

card (ii) king (iii) black card. [cbse 2007c]

31) Red kings, queens and jacks are removed from a deck of 52 playing cards and then well-

shuffled. A card is drawn from the remaining cards. Find the probability of getting (i) a king

(ii) a red card (iii) a spade. - [cbse 2007c]

32) A card is drawn at random from a well-shuffled deck of playing cards. Find the probability of

drawing a (i) face card (ii) card which is neither a king nor a red card. [cbse 2008c]

33) Cards, marked with numbers 5 to 50 are placed in a box and mixed throughout. A card is

drawn from the box at random. Find the probability that the number on the taken out card is

(i) a prime number less than 10 (ii) a number which is a perfect square. [cbse 2008]

34) A bag contains 5 red, 4 blue and 3 green balls. A ball is taken out of the bag at random. Find

the probability that the selected ball is (i) of red colour (ii) not of green colour.[cbse 2008c]

probability - deepak sir...15) a box contains 25 cards numbered from 1 to 25. a card is drawn from...

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