Question

determine the probability of the given complementary event.
what is the probability that a 48% free - throw shooter will miss her next free throw?
the probability that a 48% freethrow shooter will miss her next free throw is
(type an integer or a decimal.)

Explanation:

Step1: Recall complementary probability formula

The probability of an event \( A \) and its complement \( A^c \) satisfy \( P(A) + P(A^c) = 1 \). Here, let \( A \) be the event of making the free throw, so \( P(A)=0.48 \) (since 48% = 0.48), and we need to find \( P(A^c) \) (probability of missing).

Step2: Calculate the probability of missing

Using the formula \( P(A^c)=1 - P(A) \), substitute \( P(A) = 0.48 \):
\( P(A^c)=1 - 0.48 = 0.52 \)

Answer:

0.52