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Answer

Correct Option is 17/72

Let, total no. of marbles be 36x,
Then no. of green marbles And no. of violet marbles
Now,
27x+4x+10=36x
or, 5x=10
or, x=2
Total no. of marbles = 36x=72
There are 10 multiples of 7 from 1 to 72
And 8 multiples of 9 from 1 to 72
Also, there is 1 multiple of 7 × 9 = 63 from 1 to 72
Required probability 

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