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Andrej [43]
3 years ago
10

A box contains 10 genuine pearls and 5 artificial pearls. If you pick 3 pearls at random from the box. What is the probability t

hat you will get at least one genuine pearl?
Mathematics
1 answer:
Ivenika [448]3 years ago
8 0
1/5th you take total amount over amount drawn
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Help finding the sum
Mamont248 [21]
It is asking you to find the sum of k^2 - 1 from k=1 to k=4. Since that is only 4 numbers, calculating the sum by hand wouldn’t be that bad.

(1^2 - 1) + (2^2 - 1) + (3^2 - 1) + (4^2 - 1) = 26

The easier way to find the sum is to use a few simple formulas.

When we have a term that is just a constant c, the formula is c*n.

When we have a variable k, the formula is k*n*(n+1)/2.

When we have a squared variable, the formula is k*n*(n+1)*(2n+1)/6.

In this case, we have a squared variable k^2 and a constant of -1.

So plug in n=4 to the formulas:

4*5*9/6 - 1*4 = 26

The answer is 26







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