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13. Rose's probability of successfully shooting a basketball is 2/5. What is the probability of hershooting in at least 1 if she makes 4 shots?

Sagot :

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

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