Question

you flip a coin. what is p(not tails)? simplify your answer and write it as a fraction or whole number.

Explanation:

Step1: Determine possible outcomes

When flipping a coin, there are 2 possible outcomes: heads (H) and tails (T). So the total number of possible outcomes \( n = 2 \).

Step2: Determine favorable outcomes for "not tails"

"Not tails" means the outcome is heads. There is 1 favorable outcome (heads). Let the number of favorable outcomes be \( m = 1 \).

Step3: Calculate probability

The probability \( P(\text{not tails}) \) is given by the formula \( P = \frac{m}{n} \). Substituting \( m = 1 \) and \( n = 2 \), we get \( P(\text{not tails}) = \frac{1}{2} \).

Answer:

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