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Indrani Nawab, Pau
Asked: 2022-11-10T17:20:13+05:30 In:

Two numbers `a ,b`are chosen from the set of integers 1, ,2 3, …, 39. Then probabilitythat he equation `7a-9b=0`is satisfied is`1//247`b. `2//247`c. `4//741`d. `5//741`
A. `1//247`
B. `2//247`
C. `4//741`
D. `5//741`

Two numbers `a ,b`are chosen from the set of integers 1, ,2 3, …, 39. Then probabilitythat he equation `7a-9b=0`is satisfied is`1//247`b. `2//247`c. `4//741`d. `5//741`
A. `1//247`
B. `2//247`
C. `4//741`
D. `5//741`
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  1. Correct Answer – C
    Given,
    `7a – 9b = 0 or b = (7)/(9) a`
    Hence, number of pairs (a,b) can be (9, 7), (18, 14), (27, 21), (36, 28). Hence, the required probability is `4//.^(39)C_(2) = 4//741`.

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