Each of the following statements demonstrate a common misuse of probability. Explain what is wrong with each statement:
(a) Approximately 10% of adults are left-handed. So, if we take a simple random sample of 10 adults, 1 of them will be left-handed.
(b) A pitch in baseball can be called a ball or a strike or can be hit by the batter. As there are three possible outcomes, the probability of each is 1/3.
(c) The probability that a die lands with a 1 face up is 1/6. So, since rolls of the die are independent, the probability that two consecutive rolls land with a 1 face up is 1/6 + 1/6 = 1/3.
(d) The probability of surviving a heart attack is 2.35.