A fair die is tossed 360 times. The probability that a six comes up on 70 or more of the tosses is
A. greater than 0.50 B. between 0.16 and 0.50 C. between 0.02 and 0.16 D. between 0.01 and 0.02 E. less than 0.01
the answer is C.
Why is that? I know the probabily = P(a six comes up exactly 70 times) + P(a six comes up exactly 71 times) + ... + P(a six comes up exactly 360 times), which is a sum of binomial probabilities, but how do we approximate it?
Thank you very much.