An integer is chosen between 0 and 100.What is the probability that it isi) divisible by 7? ii) not divisible by 7?
Answers
Answer: HI HERE IS UR ANSWER
85/99
Step-by-step explanation:
The total numberofintegers betweenOand 100: 99
(i) Let E, = Event M‘ choosing an integer which is
divisible by 7
{7, 14, 21, 28, 35, 42, 49, 56,
63, 70, 77, 84, 91, 98}
Total number of favourable events = 14
Hence, required probability, P(E1) = 14 / 99
(ii) Let E2 = Event of choosing an integer which is not
divisible by 7
Then, total number of favourable outcomes,
n(E2) = n(S) - n(E1) = 99 - 14 = 85
∴ Required probability, P(E2) = 85 / 99
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