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Kobotan [32]
3 years ago
14

The grade appeal process at a university requires that a jury be structured by selecting six individuals randomly from a pool of

eleven students and thirteen faculty.​ (a) What is the probability of selecting a jury of all​ students? (b) What is the probability of selecting a jury of all​ faculty? (c) What is the probability of selecting a jury of two students and four ​faculty?
Mathematics
1 answer:
romanna [79]3 years ago
3 0

Answer: a) \dfrac{3}{874}

b) \dfrac{30}{3059}

c) \dfrac{3575}{12236}

Step-by-step explanation:

Given : Number of students : 11

Number of faculty members : 13

Total persons : 11+13=24

Total number of ways to structure a jury of six people from a group of 24 people :-

^{24}C_{6}=\dfrac{24!}{6!(24-6)!}=134596

a) Number of ways of selecting a jury of all​ students :-

^{11}C_{6}=\dfrac{11!}{6!(11-6)!}=462

Then , the probability of selecting a jury of all​ students :-

\dfrac{462}{134596}=\dfrac{3}{874}

b) Number of ways of selecting a jury of all​ faculty :-

^{13}C_{6}=\dfrac{13!}{6!(13-6)!}=462

Then , the probability of selecting a jury of all​ students :-

\dfrac{1716}{134596}=\dfrac{30}{3059}

c) Number of ways of selecting a jury of two students and four ​faculty :-

^{11}C_{2}\times^{13}C_{4}=\dfrac{11!}{2!(11-2)!}\times\dfrac{13!}{4!(13-4)!}=39325

Then , the probability of selecting a jury of all​ students :-

\dfrac{39325}{134596}=\dfrac{3575}{12236}

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Neporo4naja [7]
For (A.) Get a common denominator, 40/12 - 9/12 = 31/12 or (2 and 7/12)
For (B.) Get a common denominator, 24/15 - 10/15 = 14/15 (Simplified)
For (C.) Get a common denominator, 51/30 - 25/30 = 26/30 or (13/15)
For (D.) Get a common denominator, 14/6 - 9/6 = 5/6 (Simplified)

Hope this helps!
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3 0
3 years ago
One person is selected at random from a class of 20 males and 13 females. Find the odds against selecting a male and a female
spin [16.1K]

Answer:

Odds for male= 1.538

Odds for female =  0.65

Step-by-step explanation:

The question is asking for odds, not a probability. A probability shows how much the chance for the event to happen, so it can be expressed as a percentage. Odds show how the event more likely to happen compared to the chance it did not happen. If an event has a 90% probability, the odds will be 90:10= 9

In this case, the odds of selecting a male will be:  

number of male : number of female= 20:13 = 1.538

The odds of selecting a female will be

number of female : number of male = 13/20 = 0.65

7 0
3 years ago
HELPPP circle theorems
Serggg [28]

Answer:

56 degrees.

Step-by-step explanation:

We need the measure of < g.

The triangle formed by the 2 tangents and the chord is isosceles, because 2 tangents from a point  outside a circle are of equal length (by the Two Tangents theorem).

Also one of the base angles are equal to 62 degrees ( by The Tangent Chord theorem). In fact both base angles are 62 degrees because the triangles an isosceles.

So measure of angle g = 180 - 2(62)

= 56 degrees.


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3 years ago
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Genrish500 [490]
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6 0
3 years ago
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A raindrop falls at 200m per minute. how long will it take a raindrop to travel 6000m?
Kryger [21]
The first thing you should know is that by definition:
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 Where
 d: distance
 v: speed
 t: time
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 Substituting the values:
 t = (6000) / (200)
 t = 30 minutes
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5 0
3 years ago
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