Two friends decide to go to the track and place some bets. one friend remarks that in an upcoming race, the #3 horse is paying 45 to 1. this means that anyone who bets on the #3 horse receives $45 for each $1 bet, if in fact the #3 horse wins the race. he goes on to mention that it is a great bet, because there are only 5 horses running in the race, and therefore the probability of horse #3 winning must be 1/5. is the last statement true or false? explain.