Question

An integer is chosen between 70 and 100. Find the probability that is :
(a) a prime number (b) divisible by 7
​

Answer 1

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

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Answer 2

Answer:

Step-by-step explanation:

There are 6 prime number between 70 and 100

Probability is 6/29

And there are 4 prime number divisible by 7

Probability is 4/29