1. **Problem statement:** Find the probability that an integer chosen between 70 and 100 is (i) a prime number, (ii) divisible by 7. 2. **Total numbers between 70 and 100:** These are integers from 71 to 99 inclusive. Number of integers = $99 - 71 + 1 = 29$. 3. **(i) Probability of choosing a prime number:** List prime numbers between 71 and 99: 71, 73, 79, 83, 89, 97 Count = 6 primes. Probability = $\frac{\text{number of primes}}{\text{total numbers}} = \frac{6}{29}$. 4. **(ii) Probability of choosing a number divisible by 7:** Find multiples of 7 between 71 and 99: $7 \times 11 = 77$, $7 \times 12 = 84$, $7 \times 13 = 91$, $7 \times 14 = 98$ Count = 4 numbers. Probability = $\frac{4}{29}$. **Final answers:** (i) Probability prime = $\frac{6}{29}$ (ii) Probability divisible by 7 = $\frac{4}{29}$