Athletes and coaches use probability to determine the best sports strategies
for games and competitions. A baseball coach evaluates a player's batting
average when placing him in the line up. For example, a player with a 200
batting average means he is gotten a base hit two out of every 10 at bats. A
player with a 400 batting average is even more likely to get a hit-four
base hits out of every 10 at bats. Or, if a high-school football kicker makes
9 out of 15 field goals attempts from over 40 yards during the season, he
has a 60 percent chance of scoring on his next field goal attempt from that
distance. There are 40 players in a group of which 25 are excellent players
and 15 are average. The coach has to select a player as a captain of his
team. He writes the name of each player on a separate card, the cards being
identical. Then he puts cards in a bag and stirs them thoroughly. Then he
draws one card from the bag. What is the probability that the name written
on the card is the name of an excellent player.
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