For homework in statistics you flip a coin 100 times and to keep track of the number of heads. In the first 50 flips you get 20 heads. Assume the coin is fair, that is, the probability of heads is 1/2, and the probability of tails is 1/2.

In the next 50 flips, which of the following must happen?

a. none of the above

b .more than 20 of the flips will be heads because the proportion of heads after 100 flips must be close t 1/2 than the proportion after 50 flips

c. more than half of the flips will be head to balance the low number of heads in the first 50 flips . However, the order in which these heads will occur is unpredictable.

d. number heads will be very close to 30 in the next 50 flips because the proportion must be close to 1/2 after 100 flips