Answer:
0.8704
Explanation:
The probability of successfully shooting a basketball is 2/5, so the probability t3/o fail will be equal to:
[tex]P=1-\frac{2}{5}=\frac{3}{5}[/tex]Then, we will calculate the probability of failing the 4 shots. So, we need to multiply 3/5 by itself 4 times.
[tex]P(\text{fail all times) = }\frac{3}{5}\times\frac{3}{5}\times\frac{3}{5}\times\frac{3}{5}=0.1296[/tex]Finally, the probability of her shooting in at least 1 if the complement of the probability to fail all times, so, the answer is:
[tex]P(at\text{ least 1) = 1 - 0.1296 = 0.8704}[/tex]Therefore, the answer is 0.8704
