Suppose you wanted to test your extrasensory perception (ESP) ability using an ordinary deck of 52 cards, which has 26 red and 26 black cards. You have a friend shuffle the deck and draw cards at random, replacing the card and reshuffling after each guess. You attempt to guess the color of each card.
a. What is the probability that you guess the color correctly by chance?
b. Is the answer in part (a) based on the relative-frequency interpretation of probability, or is it a personal probability?
c. Suppose another friend has never tried the experiment but believes he has ESP and can guess correctly with probability .60. Is the value of .60 a relative-frequency probability or a personal probability? Explain.
d. Suppose another friend guessed the color of 1000 cards and got 600 correct. The friend claims she has ESP and has a .60 probability of guessing correctly. Is the value of .60 a relative-frequency probability or a personal probability? Explain.