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.)

Solution Steps

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

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

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

Final Answer