Question

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

Explanation:

Step1: Define success

Success is getting heads. A fair - coin has 2 equally likely outcomes (heads and tails).

Step2: Calculate probability of success

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. For getting heads on a coin - flip, the number of favorable outcomes is 1 and the total number of outcomes is 2. 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, we get $1 - 0.5=0.5$.

Answer:

$p = 0.5$
$1 - p=0.5$