Question

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

Explanation:

Step1: Define sample - space and events

When flipping a coin, the sample - space $S=\{heads, tails\}$. Let $A$ be the event of getting heads and $B$ be the event of getting tails.

Step2: Use the probability formula for mutually - exclusive events

Since $A$ and $B$ are mutually - exclusive (a coin can't land on heads and tails at the same time), the formula for $P(A\cup B)$ is $P(A\cup B)=P(A)+P(B)$. The probability of getting heads $P(A)=\frac{1}{2}$, and the probability of getting tails $P(B)=\frac{1}{2}$.

Step3: Calculate the probability

$P(A\cup B)=\frac{1}{2}+\frac{1}{2}=1$.

Step4: Convert to percentage

To convert to a percentage, we multiply by 100. So $1\times100 = 100\%$.

Answer:

$100\%$