The odds in favor of an event is the ratio of the probability that the event occurs to the probability that it will not occur. For example, the odds that you were born on a Friday, assuming birth days are equally likely, is 1 to 6, often written 16 or 1 to 6.
(a) In Texas Hold’em Poker, the odds of being dealt a pair (two cards of the same denomination) is 116. What is the chance of not being dealt a pair?
(b) For sporting events, bookies usually quote odds as odds against, as opposed to odds in favor. In the Kentucky Derby horse race, our horse Daddy Long Legs was given 2–9 odds. What is the chance that Daddy Long Legs wins the race?