Answer: The probability that Patrice will miss the free throw is 60%.
Step-by-step explanation: The reason is pretty simple. Probability is always out of 100%. Since we know Patrice has a 40% chance of making a free throw, we know she will have a 60% chance of missing the free throw.
The probability that Patrice will miss the free throw, when she has a 40% chance of making a free throw, is 0.6 or 60%.
Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
As the probability of an event can not be more than the number 1. Thus, the probability of failure of an event is equal to the difference of the 1 to the success of the event.
Patrice has a 40% chance of making a free throw. Thus, the probability of her making a free throw is,
[tex]P=\dfrac{40}{100}\\P=\dfrac{2}{5}[/tex]
The probability that Patrice will miss the free throw is,
[tex]P^{-1}=1-\dfrac{2}{5}\\P^{-1}=\dfrac{5-2}{5}\\P^{-1}=\dfrac{3}{5}\\P^{-1}=0.6\\P^{-1}=60\%[/tex]
Thus, the probability that Patrice will miss the free throw, when she has a 40% chance of making a free throw, is 0.6 or 60%.
Learn more about the probability here;
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