Find the indicated binomial probability. Round to five decimal places when necessary.
-A multiple choice test has 30 questions, and each has four possible answers, of which one is correct. If a student guesses on every question, find the probability of getting exactly 12 correct.
A)0.00004
B)0.02906
C)5.1554
D)13,922,008.7

Question

Find the indicated binomial probability. Round to five decimal places when necessary.
-A multiple choice test has 30 questions, and each has four possible answers, of which one is correct. If a student guesses on every question, find the probability of getting exactly 12 correct. 
A)0.00004
B)0.02906
C)5.1554
D)13,922,008.7

Quizplus · Accepted Answer

The probability of guessing exactly 12 correct answers out of 30 when each question has 4 options (with one correct answer) can be calculated using the binomial probability formula: P(X = k) = C(n, k) * p^k * (1-p)^(n-k), where n = 30, k = 12, p = 1/4 (since there's a 1 in 4 chance of guessing a question correctly), and C(n, k) is the combination of n items taken k at a time. Plugging these values into the formula gives a probability of approximately 0.02906.

Find the Indicated Binomial Probability