Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a standard coin is flipped in order to decide how a game starts. what i…

Question

a standard coin is flipped in order to decide how a game starts. what is the probability that the coin lands on tails? 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: Identify total and favorable outcomes

A coin has 2 sides (heads and tails), so total outcomes $n = 2$. Favorable outcome (tails) $m=1$.

Step2: Calculate probability as fraction

Probability formula is $P=\frac{m}{n}$. So $P=\frac{1}{2}$.

Step3: Convert to decimal

$\frac{1}{2}=0.50$ (already in hundredths - place format).

Step4: Convert to percentage

$0.50\times100 = 50.00\%$

Answer:

Fraction: $\frac{1}{2}$
Decimal: $0.50$
Percent: $50.00\%$