Mathematics

Objective Type Questions

1.       If the probability of a player winning a game is 0.56. The probability  of his losing this game is:

A.      0.56

B.      0.44

C.      1

D.      0

2.       A fair dice is thrown once. The probability of getting a composite number will be:

A.      1/6

B.      1/3

C.      0

D.      2/3

3.       The probability of getting a bad egg in a lot of 400 eggs is 0.035. the number of getting bad eggs in the lot is:

A.      87

B.      28

C.      7

D.      14

4.       A ball contains 4 red balls and 5 green balls. One ball is drawn at random from the bag. the probability of getting either a red ball or a green ball will be:

A.      1

B.      1/9

C.      9

D.      0

5.       A girl tosses two coins simultaneously. the probability that she gets almost one head is:

A.      ½

B.      1

C.      ¾

D.      2/7

6.       A card is drawn from a deck of 52 cards. The event P is that the card drawn is not a face card. The number of outcomes  favourable to the event P will be:

A.      12

B.      36

C.      51

D.      40

7.       If a card is drawn from a well-shuffled deck of 52 cards, what is the probability of drawing a Jack?

A.      ¼

B.      ½

C.      1/52

D.      1/13

8.       I a pair of dice is tossed, the probability of getting the sum of the numbers on the top more than 12 is:

A.      1

B.      1/36

C.      ½

D.      0

9.       From 25 identical cards, numbered 1,2,3,4,5,……24,25. One3 card is drawn at random. Find the probability that the number on the card drawn is multiple of 2 and 3.

A.      1/25

B.      2/25

C.      4/25

D.      1/5

10.   A box contains 90 cards numbered from 1 to 90. If one card is drawn from the box at random, then the probability that the number on the card is a perfect square

A.      1/10

B.      9/100

C.      1/9

D.      3/100

Subjective

1.       A bag contains a red ball, a blue ball and a yellow ball, all the balls being of the same size. If a ball is drawn from the bag, without looking into it, find the probability that the ball drawn is:

A.      Yellow                       B. Red               C. Blue

2.       Two dice are thrown at the same time. Write down all the possible outcomes. Find the probability of getting the sum of two numbers appearing on the top of the dice as:

A)     Less than 13    B)  10          C) 13

3.       Five cards:- the ten, Jack, queen, king and ace of diamonds are well-shuffled with their face downwards. One card is then picked up at random.

i.                    What is the probability that the card is the queen?

ii.                  If the queen is drawn and put aside, what is the probability that the second card picked up is (a) an ace (b) a queen

4.       In a single throw of two dice, what is the probability of getting

                                I.             A doublet

                              II.            A multiple of 2 on one and a multiple of 3 on the other?

                            III.            A total of 9?

5.       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.

6.       A die is thrown two times and the total score in two throws is noted. Find the probability that the total score is: (i) an even number (ii) 6      (iii) atleast 6

7.       A box contains some black balls and 30 white balls. If the probability of drawing a black ball is two-fifths of a white ball, find the number of black balls in the box.

8.       A card is drawn at random from a well-shuffled deck of 52 playing cards. Find the probability that it is: (i) a spade or a picture card (ii) neither a four nor a club   (iii) a heart

9.       If two coins are tossed once, what is the probability of getting:

                                I.             At least one head

                              II.            Both heads or both tails

                            III.            2 heads

10.   Three coins are tossed together. Write all the possible outcomes. Now, find the probability of getting:

                                I.            Exactly two heads

                              II.            At most two heads

                            III.            At least one tail.