First slide

Theorems of probability

Question

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

Moderate

A

1/247
B

2/247
C

4/741
D

5/741

Solution

Given,
$7 a - 9 b = 0 or b = \frac{7}{9} a$
Hence, number of pairs (a, b) can be (9,7); (18, A); (27 ,21); (36,28). Hence, the required probability is
$4 /^{39} C_{2} = 4 / 741$

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