Mathematics Lab Activity-20 Class X
Mathematics Lab Activities on Probability for class X students with complete observation tables strictly according to the CBSE syllabus.
Chapter - 14 probability
Activity - 20
ObjectiveTo determine experimental probability of 1, 2, 3, 4, 5 or 6 by throwing a die 500 times and compare them with their theoretical probabilities.
Material Required
A fair die, pen, sheets of white paper.
Procedure
1. Divide the students of the
class into ten groups I, II, III, IV, V, VI, VII, VIII, IX and X of suitable size.
2. Each group will throw a die
50 times and will observe the occurrence of each 1, 2, 3, 4, 5 and 6. as shown in figure 1
Figure 1
3. Count the total number of
times (frequency) 1 comes up in each group and denote it by a1, a2,
a3 ,...., a10, respectively. Find the sum of probabilities of getting 1 for all students.
4. Count the total number of
times (frequency) 2 comes up in each group and denote it by b1, b2,
b3 ,...., b10, respectively. Find the sum of probabilities of getting 2 for all students.
5. Count the total number of
times (frequency) 3 comes up in each group and denote it by c1, c2,
c3 ,...., c10, respectively. Find the sum of probabilities of getting 3 for all students.
3. Count the total number of
times (frequency) 4 comes up in each group and denote it by d1, d2,
d3 ,...., d10, respectively. Find the sum of probabilities of getting 4 for all students.
6. Count the total number of
times (frequency) 5 comes up in each group and denote it by e1, e2,
e3 ,...., e10, respectively. Find the sum of probabilities of getting 5 for all students.
7. Count the total number of
times (frequency) 6 comes up in each group and denote it by f1,
f2, f3 ,...., f10, respectively. Find the sum of probabilities of getting 6 for all students.
Observations & calculations
|
Group No.
|
No. of Trials
|
Total number of times a number
comes up
|
|
1
|
2
|
3
|
4
|
5
|
6
|
|
I
|
50
|
8
|
9
|
10
|
11
|
7
|
5
|
|
II
|
50
|
5
|
7
|
11
|
9
|
10
|
8
|
|
III
|
50
|
7
|
11
|
9
|
10
|
8
|
5
|
|
IV
|
50
|
10
|
5
|
11
|
7
|
9
|
8
|
|
V
|
50
|
10
|
12
|
4
|
8
|
7
|
9
|
|
VI
|
50
|
8
|
9
|
11
|
10
|
5
|
7
|
|
VII
|
50
|
9
|
10
|
5
|
8
|
11
|
7
|
|
VIII
|
50
|
12
|
10
|
8
|
4
|
7
|
9
|
|
IX
|
50
|
5
|
11
|
7
|
9
|
8
|
10
|
|
X
|
50
|
10
|
4
|
8
|
7
|
9
|
12
|
|
TOTAL
|
500
|
84
|
88
|
84
|
83
|
81
|
80
|
Calculations of
Experimental ProbabilitiesSum of all probabilities of getting 1
= 84/500 = 1/6 Approximately
Sum of all probabilities of getting 2
= 88/500 = 1/6 Approximately
Sum of all probabilities of getting 3
= 84/500 = 1/6 Approximately
Sum of all probabilities of getting 4
= 83/500 = 1/6 Approximately
Sum of all probabilities of getting 5
= 81/500 = 1/6 Approximately
Sum of all probabilities of getting 6
= 80/500 = 1/6 Approximately
Theoretical Probability
When we toss a die then probability of getting each number (E) (1, 2, 3, 4, 5, 6)
From these observations we conclude that
Theoretical Probability = Experimental ProbabilityResult
When we repeat an experiment to a large number of extent then Theoretical probability and experimental probability becomes equal.
Applications
Probability is used extensively in the fields like physical sciences, commerce, biological sciences, medical sciences, weather forecasting, etc.
THANKS FOR YOUR VISIT
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