Quinela In a horse race, a quinela bet is won if you selected the two horses that finish first and second, and they can be selected in any order. The 140th running of the Kentucky Derby had a field of 19 horses. What is the probability of winning a quinela bet if random horse selections are made?

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Quinela In a horse race, a quinela bet is won if you selected the two horses that finish first and second, and they can be selected in any order. The 140th running of the Kentucky Derby had a field of 19 horses. What is the probability of winning a quinela bet if random horse selections are made?

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Step 1

In 140th Kentucky Derby horse race, the number of horses is 19 and a quinela bet is won if two horses that finished first and second in any order is randomly selected without replacement.

Here, the number of horses, n=19 and the number of randomly selected horses in any order, r=2, and the selection are made without replacement.

Step 2

Substitute 19 for n and 2 for r, then the number of different possible combinations is,

Step 3

Let event A denote winning of a quinel...

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