Question

give the correct numerical response.
the probability as a common fraction that a toss of a single fair coin results in tails is
the probability as a common fraction that a toss of a single fair coin results in tails is
(type an integer or a simplified fraction.)

Explanation:

Step1: Determine the total number of possible outcomes

When tossing a fair coin, there are 2 possible outcomes: heads (H) or tails (T). So, \(n(S)=2\).

Step2: Determine the number of favorable outcomes

The favorable outcome (getting tails) is 1. So, \(n(E) = 1\).

Step3: Use the probability formula

The probability formula is \(P(E)=\frac{n(E)}{n(S)}\). Substituting the values, we get \(P(\text{tails})=\frac{1}{2}\).

Answer:

\(\frac{1}{2}\)