Answer the question about the Law of Large Numbers.
-A fair coin is tossed 5000 times. What can you say about getting the outcome of exactly 2500 tails?
A. Since the probability of a tail is 0.5 for each toss, you should expect exactly 2500 tails in 5000 tosses.
B. You should not expect exactly 2500 tails in 5000 tosses, but the proportion of tails should approach 0.5 as the number
Of tosses increases.
C. You should expect between 2475 and 2525 tails in 5000 tosses.
D. Getting 2500 tails is no more likely than getting any other number of tails in 5000 tosses.
A)c
B)a
C)b
D)d

Question

Quizplus · Accepted Answer

The Law of Large Numbers states that as the number of independent trials of a random experiment increases, the sample average approaches the expected value. In this case, the expected value of the number of tails is 5000 * 0.5 = 2500. Therefore, we should expect between 2475 and 2525 tails in 5000 tosses.

Answer the Question About the Law of Large Numbers