Chapter 25 – Probability Exercise Ex. 25.1
Question 1A coin is tossed 1000 times with the following frequencies:
Head : 455, Tail : 545
Compute the probability for each event.Solution 1
Question 2
Two coins are tossed simultaneously 500 times with the following frequencies of different outcomes:
Two heads : 95 times
One tail : 290 times
No head : 115 times
Find the probability of occurrence of each of these events.Solution 2
Question 3

Solution 3
Question 41500 families with 2 children were selected randomly and the following data were recorded:
Number of girls in a family: | 0 | 1 | 2 |
Number of families: | 211 | 814 | 475 |
If a family is chosen at random, compute the probability that it has:
(i) No girl
(ii) 1 girl
(iii) 2 girls
(iv) at most one girl
(v) more girls than boysSolution 4
Question 5In a cricket match, a batsman hits a boundary 6 times out of 30 balls he plays.
Find the probability that on a ball played:
(i) he hits boundary
(ii) he does not hit a boundary.Solution 5
Question 6The percentage of marks obtained by a student in monthly unit tests are given below:
Units Test: | I | II | III | IV | V |
Percentage of marks obtained: | 69 | 71 | 73 | 68 | 76 |
Find the probability that the student gets:
(i) More than 70% marks
(ii) less than 70% marks
(iii) a distinction.Solution 6
Question 7

Solution 7

Question 8

Solution 8

Question 9

Solution 9

Question 10
Following table shows the birth month of 40 students of class IX. | |||||||||||
Jan | Feb | March | April | May | June | July | Aug. | Sept. | Oct. | Nov. | Dec. |
3 | 4 | 2 | 2 | 5 | 1 | 2 | 5 | 3 | 4 | 4 | 4 |
Find the probability that a student was born in August. |
Solution 10
Question 11

Solution 11
Question 12
Solution 12

Question 13

Solution 13

Question 14

Solution 14
