Page 79 - Mathematics Class - X

Unit 7 St
Statistics and Probabilityatistics and Probability

ACTIVITY 7.1

OBJECTIVE
To determine experimental probability of 1, 2, 3, 4, 5 or 6 by throwing a die 500 times and compare them with
their theoretical probabilities.

MATERIALS REQUIRED
A fair die Pen Sheets of white paper

PRE-REQUISITE KNOWLEDGE

1. Knowledge of outcomes of an experiment

2. Knowledge of favourable outcome
3. Concept of probability

THEORY

1. Experiment and Outcomes: An operation which can produce some well-defined outcomes is called an
experiment. For example, tossing a coin is an experiment and in this experiment, we get either head or tail
as a result, so head and tail are called outcomes.
2. Favourable Outcomes: The outcomes which ensure the occurrence of event.

3. Probability: The chances of happening or occurrence of event.

PROCEDURE

1. Divide the class into ten groups I, II, III, IV, V, VI, VII, VIII, IX, X.
2. Each group will throw a die 50 times and will observe the occurrence of each 1, 2, 3, 4, 5 and 6. Count the

total number of times (frequency) 1 comes up in each group and denote it by a , a , a ,...., a , respectively.
1 2 3 10
a a a a
3. Calculate the experimental probability of 1 appearing in each group as 1 , 2 , 3 , ..., 10 .
50 50 50 50
4. Calculate the experimental probability of 1 based on the data of 1st group, 1st two groups, ....., all ten groups

a a + a a + a + a a + a + ... a+
as 1 , 1 2 , 1 2 3 , ..., 1 2 10 , respectively.
50 100 150 500

5. Similarly, calculate the experimental probability of 2 based on the data of 1st group, 1st two groups, .......,
b b + b b + b + b b + b + ... b+
all the ten groups as 1 , 1 2 , 1 2 3 , ..., 1 2 10 ,
50 100 150 500

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