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Answers
22) (i) The student scored 105 marks in Hindi.
(ii) Marks obtained in Mathematics = 135
Marks obtained in Hindi = 105
Difference = 135 – 105 = 30
Thus, 30 more marks were obtained by the student in Mathematics than in Hindi.
(iii)The sum of marks in Social Science and Mathematics = 97.5 + 135 = 232.5
The sum of marks in Science and Hindi = 120 + 105 = 225
∴, the sum of the marks in Social Science and Mathematics is more than that in Science and Hindi.
13) (i) Total number of marbles =9
Number of white marble =2
Required probability =2/9
.
(ii) Total number of Marbles :- 9
Blue Marbles
=3
P(Blue)=3/9
=1/3
(iii) total no of marbles : 9
no of marbles which are red : 4
p(red)= 4/9
14) (i) Prime numbers = 2, 3 and 5
Favourable number of events = 3
Probability that it will be a prime number = 3/6 = 1/2
(ii) Numbers lying between 2 and 6 = 3, 4 and 5
Favourable number of events = 3
Probability that a number between 2 and 6 = 3/6 = 1/2
(iii) Odd numbers = 1, 3 and 5
Favourable number of events = 3
Probability that it will be an odd number = 3/6 = 1/2
15)Number of red balls =3
Number of black balls =5
Total number of balls =5+3=8
(i) Probability of drawing red balls =
TotalNumberofballs
Numberofredballs
= 8/3
(ii) Probability of drawing black balls =
TotalNumberofballs
Numberofblackballs
= 8/5
16Total number of marbles in the box =5+8+4=17
i) P(red) = no. of red marbles/total number of marbles
P(red) = 17/5
ii) P(white) = no. of white marbles/total number of marbles
P(white) = 17/8
iii) P(green) = no. of green marbles/total number of marbles
P(green) = 17/4
P(not green) =1− P(green) = 17/13
17) Probability of getting red ball
=4/6
=2/3
Probability of getting yellow ball
=2/6
=1/3
∴ Probability of getting a red ball is greater than probability of getting a yellow ball.