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

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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ummm seems that u didnt post the attachement !