Question 3 ef 22
Stacked
We often hear the phrase "law of averages," which is used to suggest certain outcomes of independent trials are "due" to happen to compensate for short-4erm resulte. For example, if a baseball player with a 0.250 batting average has a slump of 10 strikeosts in a row, a sports cemmentator might naively state, "He is doe for a hit because of the law of averages." Or, in a gambling context, we might hear someone say. "The roulette wheel has landed on red in four consecutive spins. Bet on black because of the law of averages." The common usage of this phrase is an erroneous generalization of what we expect in the loag term applied to the short term. For this esercise, consider the tossing of a fair coin.
How many heads n should you expect in the 100 tosses, given that the 10 heids en the first 10 tosses is already known?