Question

An integer is chosen between 0 to 100 what is the probability that it is divisible by 7

Answer 1

Answer:

¹⁴/₉₉

Step-by-step explanation:

Integers between 0 and hundred that are divisible by 7

7, 14, 21, 28, 35,42,49,56, 63, 70, 77, 84, 91, 98

∴ Number of integers between 0 and 100 that are divisible by 7 is 14

Total integers between 0 and 100 is 99

∴Probability = ¹⁴/₉₉

Answer 2

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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

Hope It's Helpful....:)