Dr. Stats plans to toss a fair coin 10,000 times in the hope that it will lead him to a deeper understanding of the laws of probability. Which of the following statements is true?

(a) It is unlikely that Dr. Stats will get more than 5000 heads.

(b) Whenever Dr. Stats gets a string of 15 tails in a row, it becomes more likely that the next toss will be a head.

(c) The fraction of tosses resulting in heads should be exactly 1/2.

(d) The chance that the 100th toss will be a head depends somewhat on the results of the first 99 tosses.

(e) It is likely that Dr. Stats will get about 50% heads.