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:012
Number of families:211814475

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:IIIIIIIVV
Percentage of marks obtained:6971736876

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.
JanFebMarchAprilMayJuneJulyAug.Sept.Oct.Nov.Dec.
342251253444
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


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