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33 votes
33 votes
Let me see mathematics genius help me answer this question.​

Let me see mathematics genius help me answer this question.​-example-1
User Steve Ward
by
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1 Answer

16 votes
16 votes

Explanation: Answer is

(i). 19% or 14/75

(ii) 28% or 7/25

We are asked to find multiple probabilities.

We got to find the number of combinations posible,

Use the combinations formula


c {}^(n) _r{?} = ((r + n - 1) \: fractorial).)/(r \: fractorial(n - 1)fractorial)

For math this is read as,

if n choose r,( r+n-1)!/r!(n-1)!.

Where r is how many things we need from and n is the number of things we choose from.

We need 2 things and we have 24 objects to pick from.

So r=2 N equal=24

Which equal

25!/2!(23)!

Which equals


300

So there are 300 possible combinations.

Using

For the 1st question, Since we are given two independent events, we can just multiply the number of good articles by major.


14 * 4 = 56

So this means the probability is


(56)/(300) = (14)/(75)

Which is 19%

For the 2nd question, the can multiply the number of minor articles by major articles.


6 * 4 = 24

So the probability

is


(24)/(300) = (8)/(100) = (2)/(25)

Which is equal to 8%

User Ironwind
by
2.6k points