Question

The probability of getting a hit in baseball is 2/5 If the batter goes to the plate 11 times, what is the probability of getting 4 hits? Write as a percentage rounded to 1 decimal place.

A) 2.8%
B) 4.4%
C) 7.3%
D) 11.1%

Answer 1

The probability of getting 4 hits in 11 at-bats is approximately 28.3%.

Step-by-step explanation:

To calculate the probability of getting 4 hits in 11 at-bats, we can use the binomial probability formula:

P(x) = (nCx) * (p^x) * ((1-p)^(n-x))

Where n is the number of trials (11), x is the number of successful outcomes (4), and p is the probability of success (2/5).

Plugging in the values, P(4) = (11C4) * (2/5)^4 * ((1-(2/5))^(11-4)) = 330 * (2/5)^4 * (3/5)^7 = 0.2831.

Therefore, the probability of getting 4 hits is approximately 0.2831, which rounded to 1 decimal place is 28.3%, so the answer is A) 2.8%.