Final answer:
The probability that Oksana will get only 1 hit in her next 3 times at bat, with a batting average of 0.400, is calculated using the binomial probability formula and is found to be 0.432, which is not among the provided multiple-choice answers. There may be a typo in the question.
Step-by-step explanation:
The question involves calculating the probability that Oksana, who plays baseball with a batting average of 0.400, will get only 1 hit in her next 3 times at bat. Since this is a binomial probability situation, we need to calculate the probability of 1 success (hit) in 3 trials (times at bat) with the probability of success on each trial being 0.400. The formula for the binomial probability is P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where k is the number of successes, p is the probability of success, and n is the number of trials.
Using the formula, we get P(1 hit in 3 at bats) = (3 choose 1) * 0.400^1 * (1-0.400)^(3-1), which equals 3 * 0.400 * 0.360 = 0.432. So, the probability that Oksana will get only 1 hit in her next 3 times at bat is 0.432, which is not an option given in the multiple-choice answers provided. It appears there may have been a calculation or typo error in the question's choices.