Question

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?

Answer 1

0.8704

Step-by-step explanation:

The probability of successfully shooting a basketball is 2/5, so the probability t3/o fail will be equal to:

`P=1-(2)/(5)=(3)/(5)`

Then, we will calculate the probability of failing the 4 shots. So, we need to multiply 3/5 by itself 4 times.

`P(\text{fail all times) = }(3)/(5)*(3)/(5)*(3)/(5)*(3)/(5)=0.1296`

Finally, the probability of her shooting in at least 1 if the complement of the probability to fail all times, so, the answer is:

`P(at\text{ least 1) = 1 - 0.1296 = 0.8704}`

Therefore, the answer is 0.8704