The odds against Lounging Larry winning the horse race are 5:9. Determine the probability that Lounging Larry wins the horse race.

So the odds that LL will win are 9:5

then the prob that LL will win is 9/14

To determine the probability that Lounging Larry wins the horse race, we need to convert the given odds against him (5:9) into a probability.

The odds against Lounging Larry winning are written as "5:9". This means that for every 5 outcomes where he doesn't win, there are 9 outcomes where he does win.

To convert this into a probability, we use the formula:

Probability = favorable outcomes / total outcomes

In this case, the favorable outcomes are the number of outcomes where Lounging Larry wins, which is 9. The total outcomes are the sum of the favorable and unfavorable outcomes, which is 5 + 9 = 14.

Therefore, the probability that Lounging Larry wins the horse race is:

Probability = favorable outcomes / total outcomes = 9 / 14 ≈ 0.64 or 64%.

To determine the probability that Lounging Larry wins the horse race, we need to convert the odds against him into a probability. The odds against Lounging Larry winning are given as 5:9, which means that for every 5 times he loses, he wins 9 times.

To convert odds into a probability, we add the two numbers in the ratio (5 + 9 = 14) and divide the number of times Lounging Larry wins (9) by the total (14).

So the probability that Lounging Larry wins the horse race is:

9 / 14 ≈ 0.6429 or 64.29%

Therefore, there is approximately a 64.29% chance that Lounging Larry wins the horse race.