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madreJ [45]
2 years ago
12

A number is chosen at random from 2 to 16 inclusive. What is the probability that the number is prime?​

Mathematics
1 answer:
Mkey [24]2 years ago
3 0
<h3>Answer:  2/5</h3>

==========================================================

Explanation:

A = list of primes between 2 and 16, inclusive for both endpoints

A = {2,3,5,7,11,13}

B = list of integers between 2 and 16, inclusive for both endpoints

B = {2,3,4,...,14,15,16}

The dots indicate the pattern continues, which means we don't have to write out every value.

There are n(A) = 6 items in set A and n(B) = 16-2+1 = 15 items in set B. I'm using the formula that a set like {p,p+1,p+2,...,q-2,q-1,q} has q-p+1 elements in it. This only works for integers and they must be consecutive. Also q > p.

Once we know how many items are in each set, we divide the two counts

P(finding a prime between 2 and 16) = n(A)/n(B) = 6/15 = 2/5

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Step-by-step explanation:

Given

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In this way, the remaining places can be filled in 4, 3, 2, and 1 way

On combining the above, 6 places can be filled in  

\Rightarrow 6\times 5\times 4\times 3\times 2\times 1=6!\\\Rightarrow 720\ \text{ways}

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3 years ago
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Step-by-step explanation:

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What is 3/8<br> as an equivalent fraction with the LCM as the denominator?
tino4ka555 [31]

Answer:

3/8 = 9/24

Step-by-step explanation:

So here we have a basic multiplication problem and finding the LCM of 8 and 3. The first step in this problem is finding the LCM of 3/8. The LCM of 3 and 8 is 24. So yay! we have the bottom half of our answer!

Ex.-

The LCM of 8 and 3 is 24.

So now we have to find an equivalent fraction. Since we already know that 8 (the denominator in the original equation) can be multiplied by 3 to equal 24, we use 3 (the numerator in the original equation) and multiply it by itself to get an equivalent fraction.

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8 x 3 = 24

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Now that we have our numerator and denominator, all we have to do now is put them together to get our answer.

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9/24 (answer) = 3/8 (original equation)

Hopefully I could help! :)

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