Question

flip the coin below. suppose that you win a prize if it comes up heads. what is p, the probability of success? what is 1 - p, the probability of failure?

Explanation:

Step1: Identify total outcomes

A coin - flip has 2 possible outcomes (heads or tails).

Step2: Calculate probability of success

Success is getting heads. There is 1 favorable outcome (heads) out of 2 total outcomes. So, $p=\frac{1}{2}=0.5$.

Step3: Calculate probability of failure

The probability of failure is $1 - p$. Substitute $p = 0.5$ into the formula, $1 - p=1 - 0.5 = 0.5$.

Answer:

The probability of success $p$ is 0.5.
The probability of failure $1 - p$ is 0.5.