to obtain probability of an event related to throw up a pair of dice through an activity
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Answers
Answer:
the total outcomes are 36 if a pair of dice is thrown
probability of even number is 1/36
probability of odd number is 1/36
Answer:
Objective:-
To find experimental probability of each outcome of a die when it is thrown a large number of times.
Materials Required:-
Notebook
A fair die
Pen
Prerequisite Knowledge
Basic knowledge of probability and a fair die.
Theory:-
For basic knowledge of probability refer to Activity 33.
A fair die is small cube having dots, 1 to 6 on its faces.
NCERT Class 9 Maths Lab Manual - Find Probability of each Outcome or a Die 1
Procedure
Firstly, divide the whole class in ten groups, say G1, G2, G3, …….., G10 of a suitable size.
Allow all groups to throw a die 100 times and ask them to note down the observations, i.e. the number of times the outcomes 1, 2, 3, 4, 5 or 6 come up.
If 1 appears in all the groups a times. Similarly, count the number of times each of 2, 3, 4, 5 and 6 has appeared. Denote them by b, c, d, e and f, respectively.
Now, find the probability of each outcome (E) by using the formula,
P(E) = \frac { Number\quad of\quad times\quad an\quad outcome\quad occurred }{ Total\quad number\quad of\quad trials }
Demonstration
There are 10 groups and all the groups throw a die 100 times. So, the total number of trials is 1000.
As, 1 has appeared a times.
Hence, experimental probability of 1, P(1) = \frac { a }{ 1000 }
similarly, experimental probability of 2, P(2) = \frac { b }{ 1000 }
experimental probability of 3, P(3) = \frac { c }{ 1000 }
experimental probability of 4, P(4) = \frac { d }{ 1000 }
experimental probability of 5, P(5) = \frac { e }{ 1000 }
and experimental probability of 6, P(6) = \frac { f }{ 1000 }
Thanks have a nice day