Why do we need to follow the method mentioned in the selected answer?

You don’t have to follow anything, your reasoning seems correct.

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In this previous year question https://gateoverflow.in/179371/,

can someone PLEASE explain why is it wrong to say that

“if i have probability of success = $\frac{1}{26^{10}}$, then, probability that one of my 5 guesses will be correct is $\frac{5}{26^{10}}$.”

Because suppose if i guess, say all the $26^{10}$ strings then my probability of success is $\frac{26^{10}}{26^{10}}=1$, which is true.

Why do we need to follow the method mentioned in the selected answer?

Please give a proper reason like, the reason why we can’t say the answer is B is because “checking” is a dependent event.

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