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  • (i)An integer is chosen between 0 and 100. What is the probability that it is divisible by 7

An integer is chosen between 0 and 100. What is the probability that it is

(i) divisible by 7 ?
(ii) not divisible by 7?
 

Answers (1)

(i) Answer. [14/99]
Solution. Probability; Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one 
Total number = 99   (between 0 to 100)
Number divisible by 7 = (7, 14, 21, 28,35, 42, 49, 56, 63, 70, 77, 84, 91, 98)
Favourable cases = 14
Probability = \frac{Number\, of\, favourable\ cases }{Total\, number\, of\, cases}
Probability of getting number divisible by 7 = \frac{14}{99}

(ii) Answer. [85/99]
Solution. Probability; Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Total number between 0 to 100 = 99
Number divisible by 7 = (7, 14, 21, 28,35, 42, 49, 56, 63, 70, 77, 84, 91, 98)
Favourable cases = 14
Probability = \frac{Number\, of\, favourable\ cases }{Total\, number\, of\, cases}
Probability of getting number divisible by 7 = \frac{14}{99}
= 1-\frac{14}{99}
= \frac{99-14}{99}= \frac{85}{99}
 

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