Question
Gene is tossing a normal quarter. He tosses the quarter 12 times and it lands on heads 9 times. If Gene tosses the quarter again, what is the probability that it lands on tails? Input your answer in fraction form.
Answers
GPT-4o mini
When tossing a fair coin, the probability of landing on heads (H) is \( \frac{1}{2} \) and the probability of landing on tails (T) is also \( \frac{1}{2} \). The outcomes of previous tosses do not affect the outcome of subsequent tosses because each toss is independent.
Thus, regardless of the results from the previous 12 tosses, if Gene tosses the quarter again, the probability that it lands on tails is:
\[
\frac{1}{2}
\]
So the answer in fraction form is:
\[
\frac{1}{2}
\]
Thus, regardless of the results from the previous 12 tosses, if Gene tosses the quarter again, the probability that it lands on tails is:
\[
\frac{1}{2}
\]
So the answer in fraction form is:
\[
\frac{1}{2}
\]