A bag contains 6 red balls and 6 black balls. We draw 6 balls, with each one replaced before the next is drawn. What is the probability that at least 4 black balls will be drawn? Round your answer to five decimal places.
A)0.23438
B)0.09375
C)0.01563
D)0.32813
E)0.34375

Question

A bag contains 6 red balls and 6 black balls. We draw 6 balls, with each one replaced before the next is drawn. What is the probability that at least 4 black balls will be drawn? Round your answer to five decimal places. ​
A)0.23438
B)0.09375
C)0.01563
D)0.32813
E)0.34375

Quizplus · Accepted Answer

The probability of drawing a black ball in one draw is 0.5. Using the binomial probability formula, the probability of drawing at least 4 black balls in 6 draws is P(X ≥ 4) = P(X = 4) + P(X = 5) + P(X = 6) = 0.23438 + 0.09375 + 0.01563 = 0.34375.

A Bag Contains 6 Red Balls and 6 Black Balls