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3 years ago

15

In a certain lottery, an urn contains balls numbered 1 to 26. From this urn, 6 balls are chosen randomly, without replacement

. For a $1 bet, a player chooses one set of six numbers. To win, all six numbers must match those chosen from the urn. The order in which the balls are selected does not matter. What is the probability of winning this lottery with one ticket?

1 answer:

expeople1 [14]3 years ago

4 0

Answer:

\frac{1}{230230}

Step-by-step explanation:

Given that in a certain lottery, an urn contains balls numbered 1 to 26

From this urn, 6 balls are chosen randomly, without replacement.

Bet amount 1 dollar and he selects a set of six numbers.

If these match with those chosen from the urn he wins (order does not matter)

Total ways of choosing 6 out of 26 = $26C6 = \frac{26!}{20!6!} \\=230230$

The way he selects = 1

Hence probability of winning = $\frac{1}{230230}$

with one ticket

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3 years ago

How many positive integers $n$ satisfy $ floor sqrt n floor = 5$?

Temka [501]

That's all the square roots of the form 5.xxxx. The numbers start at 5² and end at 6²-1.

So that's 6² - 5² = 11 numbers. We can list them:

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3 years ago

creativ13 [48]

Using the volume of the spherical balloon, it is found that it will take 24 hours for the balloon to become completely empty.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere of radius r is given by:

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Aspherical balloon has a radius of 6 feet, hence the volume is:

$V = \frac{4\pi 6^3}{3} = 905$

It has already lost 20% of it's air, and air is leaking out of the balloon at a rate of 30 cubic feet per minute, hence the volume after t minutes is given by:

$V(t) = 0.8(905) - 30t$

$V(t) = 724 - 30t$

It will be completely empty when:

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More can be learned about the volume of a sphere at brainly.com/question/25608353

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1 year ago

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Bumek [7]

Answer:

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Step-by-step explanation:

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3 years ago

If the perimeter of an equilateral triangle is 36 inches what is the perimeter of it’s image under a dilation with a scale facto

alexdok [17]

Answer:

The perimeter of the image is 144 inches

Step-by-step explanation:

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3 years ago