you flip a coin. what is p(heads or tails)? write your answer as a percentage.
you flip a coin. what is p(heads or tails)? write your answer as a percentage.
Answer
Explanation:
Step1: Identify sample - space
When flipping a coin, the sample - space $S={heads, tails}$.
Step2: Calculate probabilities
The probability of getting heads $P(heads)=\frac{1}{2}$, and the probability of getting tails $P(tails)=\frac{1}{2}$. Since the events of getting heads and getting tails are mutually exclusive, by the addition rule of probability for mutually - exclusive events $P(A\cup B)=P(A)+P(B)$. Here $A$ is the event of getting heads and $B$ is the event of getting tails. So $P(heads\ or\ tails)=P(heads)+P(tails)=\frac{1}{2}+\frac{1}{2}=1$.
Step3: Convert to percentage
To convert 1 to a percentage, we multiply by 100. So $1\times100 = 100%$.
Answer:
100%