Question

you flip a coin. what is p(heads)? write your answer as a percentage rounded to the nearest tenth.

Explanation:

Step1: Identify total outcomes

A coin - flip has 2 possible outcomes (heads or tails), so $n(S)=2$.

Step2: Identify favorable outcomes

The favorable outcome for getting heads is 1, so $n(A) = 1$.

Step3: Calculate probability

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

Step4: Convert to percentage

To convert $\frac{1}{2}$ to a percentage, we multiply by 100: $\frac{1}{2}\times100 = 50\%$.

Answer:

50%