Everything seems fine except the highlighted portion - especially 8 that is unit digit of 2^11 or 2^31 or 2^51...But actually they would have given you the unit digit 6 and NOT 8,right?BTW,You shown have put tremendous effort in this one,Thanks
I think as they are two independent events,the prob of both of them being correct is 1/8*1/12 = 1/96So,a + b = 97..and I really dunno for what sake they have given as 1/1001 and all@floamiya - It's my mistake...Thanks
The probability that they get the correct answer, given that they got the same result, is what is asked. Possibly I am misinterpreting in some manner.
So the way I see it...the probability of both getting the same correct answer is 1/96.
And the probability of both getting the same wrong answer is 1/1001 (given)
So required prob is [1/96] / [1/96 + 1/1001] = 1001 /1097.