Question

a standard coin is flipped in order to decide how a game starts. what is the probability that the coin lands on heads? submit your answer as a simplified fraction, as well as a decimal and percentage, both rounded to the hundredths place. show your work here fraction decimal percent

Explanation:

Step1: Determine the number of possible outcomes

A standard coin has 2 possible outcomes (heads or tails). So, the total number of possible outcomes \( n(S)=2 \).

Step2: Determine the number of favorable outcomes

The number of favorable outcomes (getting heads) \( n(E) = 1 \).

Step3: Calculate the probability as a fraction

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

Step4: Convert the fraction to a decimal

To convert \( \frac{1}{2} \) to a decimal, we divide 1 by 2: \( 1\div2 = 0.50 \).

Step5: Convert the decimal to a percentage

To convert a decimal to a percentage, we multiply by 100. So, \( 0.50\times100=50.00\% \).

Answer:

Fraction: \( \frac{1}{2} \), Decimal: \( 0.50 \), Percentage: \( 50.00\% \)