An integer is chosen between 0 and 100. What | vedclass

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(D) The total number of integers between $0$ and $100$ is $99$ (i.e.,${1, 2, 3, \dots, 99}$).$n(S) = 99$$(i)$ Let $E_1$ be the event of choosing an in

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$\frac{14}{99}, \frac{85}{99}$

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(D) The total number of integers between $0$ and $100$ is $99$ (i.e.,${1, 2, 3, \dots, 99}$).$n(S) = 99$$(i)$ Let $E_1$ be the event of choosing an integer which is divisible by $7$.The multiples of $7$ between $0$ and $100$ are ${7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98}$.$n(E_1) = 14$$P(E_1) = \frac{n(E_1)}{n(S)} = \frac{14}{99}$$(ii)$ Let $E_2$ be the event of choosing an integer which is not divisible by $7$.$n(E_2) = n(S) - n(E_1) = 99 - 14 = 85$$P(E_2) = \frac{n(E_2)}{n(S)} = \frac{85}{99}$

An integer is chosen between $0$ and $100$. What is the probability that it is
$(i)$ divisible by $7?$
$(ii)$ not divisible by $7?$

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An integer is chosen between $0$ and $100$. What is the probability that it is$(i)$ divisible by $7?$$(ii)$ not divisible by $7?$