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i’m not sure but i think the answer is 50c2/100c2+50c2/100c2
how i got here is tht if u observe the pattern then u will notice tht if both m and n are odd or both m and n are even then 7^m+7^n will be divisible by 5 so there are 2 cases
case 1 when both m and n are odd
case 2 whn both are even
and the prbability will be case1 + case 2
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But sir what i have done is tht first when i said tht we draw 10 balls frm 30 white and 30 blue balls so this sample will automatically include the case where either only 10 white balls are drwan or10 blue balls are drwan .so this does not becomes the case of exactly one color missing
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