The Duck Pond game at the carnival has a pool with 75 toy ducks. Twenty-five of these ducks are marked underneath as winners. To play, you pick up a duck, do not replace it, then pick up another. What is the probability that both ducks picked are winners?

the probability that both ducks picked are winners is 4 by 37

here let's get the probability that the first duck is a winner.

So,  

Okay, so we know the first duck probability.

But for the second, we need to keep in mind that there are now only 74 ducks in the pool, and only 24 ducks are winners

So,  

These are independent events, so we need to multiply them together

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4/37

Step-by-step explanation:

First, let's get the probability that the first duck is a winner.

number of winner ducks / number of all ducks =

25 / 75 = 1/3.

Okay, so we know the first duck probability. But for the second, we need to keep in mind that there are now only 74 ducks in the pool, and only 24 ducks are winners (given that we've already picked one winner).

new number of winner ducks / new number of all ducks =

24 / 74 = 12/37.

These are independent events, so we need to multiply them together for our answer.

1/3 * 12/37 = 4/37

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step-by-step explanation: