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 the formula for complementary events

The probability of an event \(A\) and its complement \(\overline{A}\) satisfy \(P(A)+P(\overline{A}) = 1\). Let \(A\) be the event that the shooter makes the free - throw. Then \(P(A)=0.51\).

Step2: Calculate the probability of the complement event

We want to find \(P(\overline{A})\). Using the formula \(P(\overline{A})=1 - P(A)\). Substitute \(P(A) = 0.51\) into the formula: \(P(\overline{A})=1-0.51\).

$$P(\overline{A})=0.49$$

Answer:

\(0.49\)