A "trifecta" is a particular horse race in which you win by picking the "win," "place," and "show" horses (the first-, second-, and third-place winners), in their proper order. if five horses of equal ability are entered in a trifecta race, and tracy selects an entry, what is the probability that she will be a winner?

The probability that she will be a winner is:

Step-by-step explanation:

Consider the provided information.

A "trifecta" is a particular horse race in which you win by picking the "win," "place," and "show" horses (the first-, second-, and third-place winners), in their proper order.

Five horses of equal ability are entered in a trifecta race

First find the sample space as shown:  

We have five horses for 1st place, if out of 5 horses one horse comes first then we have 4 horses for the second place.

If out of 4 horses one horse comes second then we have 3 horses for the third place.

Therefore the number of ways are:  

There are 60 ways for a horse to come first, second or third.

The actual outcome of the race will only be one of these ways.

Hence, the probability that she will be a winner is:

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step-by-step explanation: