An integer is chosen from 0-100 . find o (divisible by 7)
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14/100 which is equal to 7/50
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Number of integers between 0 and 100 = n(S) = 99
(i) Let E be the event ‘integer divisible by 7’
Favourable outcomes to the event E = 7, 14, 21,…., 98
Number of favourable outcomes = n(E) = 14
Probability = P(E) = n(E)/n(S) = 14/99
(ii) Let F be the event ‘integer not divisible by 7’
Number of favourable outcomes to the event F = 99 – Number of integers divisible by 7
= 99-14 = 85
Hence, the required probability = P(F) = n(F)/n(S) = 85/99
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