The correct option is
A ![](https://infinitestudent-migration-images.s3-us-west-2.amazonaws.com/_06db50ded67074406a972a434542c32e482c812a20160712-27224-1s7s53h.png)
Total 2 digit numbers :
9×10=90. Digits which are symmetrical : 1, 8, 0.
Digits which form a complementary symmetrical pair (i.e. when one is rotated, the other is obtained) – 6, 9.
When 0 is used as ten’s digit, it is a 1 digit no.
When 0 is used as unit’s digit and the no. is rotated by 180, it becomes a 1 digit no. So, we won’t use 0 in the 2-digit number.
Total possible nos. using digits 1, 8, 6, 9 : 4
× 4 = 16
But the nos. 11, 88, 69, 96 when rotated by 180 reveals the same no. again.
∴ Probability =
1290=215