Questions: Determine the probability of the given complementary event. What is the probability that a 49% free-throw shooter will miss her next free throw? The probability that a 49% free throw shooter will miss her next free throw is (Type an integer or a decimal.)

Determine the probability of the given complementary event.
What is the probability that a 49% free-throw shooter will miss her next free throw?

The probability that a 49% free throw shooter will miss her next free throw is
(Type an integer or a decimal.)

Transcript text: Determine the probability of the given complementary event. What is the probability that a $49 \%$ free-throw shooter will miss her next free throw? The probability that a $49 \%$ freethrow shooter will miss her next free throw is (Type an integer or a decimal.)

Solution

Solution Steps

Step 1: Identify the given probability

The probability that the free-throw shooter makes her next free throw is $ 49\% $, which can be written as $ P(\text{make}) = 0.49 $.

Step 2: Determine the complementary event

The complementary event to making the free throw is missing the free throw. The probability of the complementary event is calculated as: \[ P(\text{miss}) = 1 - P(\text{make}) \]

Step 3: Calculate the probability of the complementary event

Substitute the given probability into the formula: \[ P(\text{miss}) = 1 - 0.49 = 0.51 \]