471) An unprepared student makes random guess for ten true-false questions on a quiz. The probability of atleast one correct answer is: a) 0.9990 b) 0.99 c) 0.9 d) 1

To find the probability of getting at least one correct answer when guessing on ten true-false questions, we can use the complement rule. The probability of guessing wrong on a single question is 0.5, so for ten questions, the probability of getting all wrong is \( (0.5)^{10} = 0.0009765625 \). Thus, the probability of getting at least one correct answer is \( 1 - 0.0009765625 \), which is approximately 0.9990. So, the correct answer is (a) 0.9990! Now imagine this scenario in real life! Picture a student in panic mode, trembling over their quiz. They close their eyes, take a deep breath, and randomly select answers like they're playing a game of true-false roulette! With a 99.90% chance of getting at least one answer right, it’s a fantastic reminder that sometimes, luck can be on our side—even when we’re flying blind!