Question

you flip a coin. what is p(heads)?. write your answer as a percentage. % submit

Explanation:

Step1: Determine the total number of outcomes

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

Step2: Determine the number of favorable outcomes

The number of favorable outcomes for getting heads is 1. So, \( n(E) = 1 \).

Step3: Calculate the probability

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

Step4: Convert to percentage

To convert the fraction to a percentage, we use the formula \( \text{Percentage}=\frac{n(E)}{n(S)}\times100\% \). So, \( \frac{1}{2}\times100\% = 50\% \).

Answer:

50