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Introduction To Mathematical Modelling

Question
CBSEENMA9004004

A die is rolled 25 times and outcomes are recorded as under:

Outcomes

Frequency

1

9

2

4

3

5

4

6

5

1

6

0

It is thrown one more time. Find the probability of getting

(a)  an even number
(b)  a multiple of 3
(c)  a prime number.

Solution

Total number of times a die is rolled = 25
(a) Even numbers are 2,4, 6.
∴ Probability of getting an even number
equals fraction numerator 4 plus 6 plus 0 over denominator 25 end fraction equals 10 over 25 equals 2 over 5

(b) Multiples of 3 are 3, 6.
∴ Probability of getting a multiple of 3
equals fraction numerator 5 plus 0 over denominator 25 end fraction equals 5 over 25 equals 1 fifth

(c) 2, 3, 5 are prime numbers.
∴ Probability of getting a prime number
equals fraction numerator 4 plus 5 plus 1 over denominator 25 end fraction equals 10 over 25 equals 2 over 5.