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almond37 [142]
3 years ago
6

Numbered discs are placed in a box and one disk is selected at random. if there are 7 red discs numbered 1 through 7, and 4 yell

ow disks numbered 8 through 11, find the probability of selecting a disk numbered 3, given that a red disk is selected
Mathematics
1 answer:
max2010maxim [7]3 years ago
3 0
The chance of drawing a 3 given that the disc is red is 1/7.

In this example, we are told that one of the conditions is that the disc is red. There are only 7 red disks. So our chance is out of 7.

Of those 7 discs, only 1 has the number 3. Our chance is 1/7.
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Sarah has a brother who is 5 years younger than herself and another brother who is 8 years younger than herself. She observes th
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Answer:

Sarah is 13 years old

Step-by-step explanation:

Represent Sarah's age with S

Her first brother's age with F

Her second brother's age with B

So, we have:

From the first statement, we have:

S - F = 5 ---- (1)

From the second, we have:

S - B = 8 ---- (2)

The product of their ages is 40.

First, we make F the subject in (1) and B the subject in (2)

F = S - 5

B = S - 8

Their product is represented as follows:

F * B = 40

Substitute values for F and B

(S - 5) * (S - 8)=40

Open bracket

S^2 - 5S -8S + 40 = 40

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Subtract 40 from both sides

S^2 - 13S = 0

Factorize:

S(S - 13) = 0

Split:

S = 0 or S - 13 = 0

But Sarah's age can't be 0 because she has two younger brothers.

So, we stick to

S - 13 = 0

Make S the subject

S = 13

<em>Hence, Sarah is 13 years old</em>

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