Final answer:
The probability of Jennifer getting exactly three out of four questions correct, assuming random guessing with four-options multiple choice questions, can be calculated using the binomial probability formula and it approximates to 0.047. The correct option is B.
Step-by-step explanation:
The question asks for the probability that Jennifer gets exactly three out of four questions correct. Without additional information, such as the number of possible answers for each question, we cannot provide an exact numeric probability. If the questions are multiple choice with four options each, and Jennifer is guessing, the probability of getting exactly three correct can be calculated using the binomial probability formula, which is:
P(X=k) = C(n, k) * p^k * (1-p)^(n-k)
where:
- C(n, k) is the number of combinations of n items taken k at a time (the formula for combinations is C(n, k) = n! / (k!(n-k)!)).
- p is the probability of success on a single trial (in this case, 1/4 since there are four options and one correct).
- n is the total number of trials (in this case, 4).
- k is the number of successful outcomes desired (in this case, 3).
We calculate:
- C(4, 3) = 4! / (3!(4-3)!) = 4
- p^k = (1/4)^3
- (1-p)^(n-k) = (3/4)^1
Therefore:
P(3 correct) = 4 * (1/4)^3 * (3/4) = 3/64 = 0.046875, which could be rounded to the provided option B) 0.047.