Two numbers `a ,b` are chosen from the set of integers 1, ,2 3, ..., 39. Then probability that he equation `7a-9b=0` is satisfied is `1//247` b. `2//2

Question

Two numbers `a ,b` are chosen from the set of integers 1, ,2 3, ..., 39. Then probability that he equation `7a-9b=0` is satisfied is `1//247` b. `2//2

Two numbers `a ,b` are chosen from the set of integers 1, ,2 3, ..., 39. Then probability that 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`

Monjur Alahi

6 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

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`.

6 views Answered 2023-02-05 15:29