If you toss a fair coin $20$ times, what is the probability that it lands on tails in a single toss?

• A. $0$
• B. $1$
• C. $\frac{1}{2}$
• D. $\frac{1}{20}$

Answer: (C)

Verified step by step guidance

1. Understand the problem: You are tossing a fair coin, which means the coin has two equally likely outcomes—heads or tails—on each toss.
2. Identify the event of interest: The problem asks for the probability that the coin lands on tails in a single toss, not over multiple tosses.
3. Recall the probability formula for a single event: The probability of an event happening is the number of favorable outcomes divided by the total number of possible outcomes.
4. Since the coin is fair, the number of favorable outcomes (landing on tails) is 1, and the total number of possible outcomes (heads or tails) is 2. So, the probability is given by the formula: \(\frac{1}{2}\).
5. Note that the number of tosses (20) does not affect the probability of tails on any single toss because each toss is independent.