Question

determine the probability of the given complementary event. what is the probability that a 51% free - throw shooter will miss her next free throw? the probability that a 51% freethrow shooter will miss her next free throw is (type an integer or a decimal.)

Explanation:

Step1: Recall probability formula

The probability of an event $A$ and its complement $\overline{A}$ satisfy $P(A)+P(\overline{A}) = 1$. Here, the event $A$ is making a free - throw and $P(A)=0.51$.

Step2: Calculate the probability of the complement

We want to find $P(\overline{A})$. Using the formula $P(\overline{A})=1 - P(A)$, we substitute $P(A) = 0.51$ into it. So $P(\overline{A})=1 - 0.51$.
$P(\overline{A})=0.49$

Answer:

$0.49$