

Correct ans is A and B are independent events.
Single-Digit Nos. = 2;
2-Digit Nos. = 2 (Ways of selecting unit’s digit) x 3 (Ways of selecting ten’s digit as zero cannot be used) = 6; 3-digit Nos. = 2 (Ways of selecting unit’s digit) x 4 (Ways of selecting ten’s digit) x 3 (Ways of selecting hundred’s digit as zero cannot be used) = 24;
4-digit Nos. = 2 (Ways of selecting unit’s digit) x 4 (Ways of selecting ten’s digit) x 4 (Ways of selecting hundred’s digit) x 3 (Ways of selecting thousand’s digit as zero cannot be used) = 96;
∴Total = 2 + 6 + 24 + 96 = 128
The first marble can go in any of the four pockets and so can the second and third marble.
Hence the total number of ways that three marbles can go in four pockets is 4 × 4 × 4 = 64 .
Divisible by 30. Not possible.