45. A die is thrown 100 times and outcomes are noted as given below: Outcome 1 2 3 5 Frequency 21 9 23 18 15 If a die is thrown at random, find the probability of getting aan: (1) (2) 6 (iii) Even number (v) Odd number
Answers
Answer:
i) P(Getting a number 3) = \dfrac{7}{50}
50
7
ii) P(Getting a number 5) = \dfrac{9}{50}
50
9
iii) P(Getting a number 4) = \dfrac{23}{100}
100
23
iv) P(Getting an even number) = \dfrac{47}{100}
100
47
v) P(Getting an odd number) = \dfrac{53}{100}
100
53
Step-by-step explanation:
The given table:
Outcomes: 1 2 3 4 5 6
Frequency: 21 9 14 23 18 15
Total number of possible outcomes = 100
i) 3
Number of favourable outcomes = 14
∴ P(Getting a number 3) = \dfrac{14}{100}
100
14
= \dfrac{7}{50}
50
7
ii) 5
Number of favourable outcomes = 18
∴ P(Getting a number 5) = \dfrac{18}{100}
100
18
= \dfrac{9}{50}
50
9
iii) 4
Number of favourable outcomes = 23
∴ P(Getting a number 4) = \dfrac{23}{100}
100
23
iv) Even number
Number of favourable outcomes(2, 4, 6) = 9 + 23 + 15 = 47
∴ P(Getting an even number) = \dfrac{47}{100}
100
47
v) Odd number
Number of favourable outcomes(1, 3, 5) = 21 + 14 + 18 = 53
∴ P(Getting an odd number) = \dfrac{53}{100}
100
53
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