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Mathematics 9 Online
jamiesmith:

hey

jamiesmith:

@Vocaloid are you busy?

jamiesmith:

@Hero r u busy

willa:

@nuts hi please help us

jamiesmith:

@nuts @Hero hey guys please can u help

jamiesmith:

@ThisGirlPretty do u know math

sammixboo:

Hey guys, and welcome to QuestionCove. What's up?

jamiesmith:

@sammixboo can you help us with math

sammixboo:

Depends on the math! I can try. What's the question?

jamiesmith:

@sammixboo are u still online

jamiesmith:

@sammixboo I'm just waiting for @willa

jamiesmith:

@Vocaloid heyyyyy OMG

sammixboo:

Can @willa post the question here..?

jamiesmith:

@Vocaloid are u online

Vocaloid:

please go easy on the tags, ok? what is the question?

jamiesmith:

@Vocaloid oh sorry

jamiesmith:

@vocaloid What is the sum of the probabilities in any probability distribution? is in infinite

Vocaloid:

let's use a simple example, flipping a coin. what's the sum of probabilities for all outcomes?

jamiesmith:

two

Vocaloid:

a coin has two sides, heads and tails what is the probability of getting heads?

willa:

1/2

Vocaloid:

good, what about tails?

willa:

1/2

Vocaloid:

good, so the sum is 1/2 + 1/2 = 1 which is the case for any probability distribution

jamiesmith:

wait yeah it should be infinite

jamiesmith:

A store had a scratch-and-win promotion in which 1000 cards indicated 10% off, 50 cards indicated 15% off, 10 cards indicated 20% off and 1 card indicated 40% off. What is the expected value for a given scratch-and-win card? is it about 10.4 off

jamiesmith:

nvm it is

jamiesmith:

Kajan repeatedly rolled a die and he was getting frustrated that he could not roll his favourite number, which is three. What is the probability that the first three occurred on the tenth roll?

jamiesmith:

nvm

jamiesmith:

I got it

jamiesmith:

sooo soorrrry

jamiesmith:

@Vocaloid The student council is selecting six teachers to judge a talent contest. There are eight men and nine women available to be chosen. What is the probability that three men and three women are selected?

Vocaloid:

combination formula nCr considering the women alone we have 9 potential women and 3 women needed for the selection giving us 9C3 same logic with the men gives us 8C3 so 9C3 * 8C3

Vocaloid:

* meant to say 1 / (9C3 * 8C3) whoops

jamiesmith:

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jamiesmith:

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jamiesmith:

its the first one right I'm calculating it or trying to atleast

Vocaloid:

hm? why 6 in the numerator? should just be 1 / (9C3 * 8C3), use wolframalpha.com or a graphing calculator

jamiesmith:

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jamiesmith:

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Vocaloid:

try to remember the combination formula nCr = \[\frac{ n! }{ r!(n-r)!}\] apply this logic to 9C3 and 8C3

jamiesmith:

what does n mean again

Vocaloid:

the total population being selected from. for the women, for example, we have 8 women and we select 3 so for 8C3, n = 8

jamiesmith:

how do u use the website u gave me

jamiesmith:

the binomial distribution involves counting successes in a specific number of trials; the hypergeometric distribution involves waiting time until success

jamiesmith:

is that the key difference @Vocaloid

Vocaloid:

plug in 1 / (9C3 * 8C3).

jamiesmith:

@Vocaloid um i think the answer is

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jamiesmith:

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jamiesmith:

I meant that

Vocaloid:

you can't just add the n and r values just try plugging in n = 8 and r = 3 into the combination formula to get the value of 8C3.

jamiesmith:

A bag contains 8 red, 7 green, 5 black and 10 yellow jelly beans. Six jelly beans are selected at random without replacement. What is the probability that all six jelly beans are red? its

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jamiesmith:

@Vocaloid yeah the answer is 56

jamiesmith:

C(n,r)=C(8,3) C ( n , r ) = C ( 8 , 3 ) =8!(3!(8−3)!) = 8 ! ( 3 ! ( 8 − 3 ) ! ) = 56

Vocaloid:

good now try finding 9C3

jamiesmith:

84

jamiesmith:

I only have three options tho @Vocaloid

jamiesmith:

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jamiesmith:

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jamiesmith:

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jamiesmith:

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jamiesmith:

4***

Vocaloid:

hm. then (8C3 * 9C3)/(17C6) is the best solution th en

Vocaloid:

jellybean problem is correct

Vocaloid:

binomial vs hypergeometric, both involve repeating trials until a certain desired outcome is achieved, but with binomial distribution the probability of each success/failure remains the same while in hypergeometric the probability changes based on previous outcomes

jamiesmith:

the binomial distribution involves independent trials; the hypergeometric distribution involves dependent trials the binomial distribution involves dependent trials; the hypergeometric distribution involves independent trials the binomial distribution involves counting successes in a specific number of trials; the hypergeometric distribution involves waiting time until success the hypergeometric distribution involves counting successes in a specific number of trials; the binomial distribution involves waiting time until success

jamiesmith:

I think its the last one

Vocaloid:

"while in hypergeometric the probability changes based on previous outcomes" this points to the idea that the trials in hypergeometric situations are dependent

jamiesmith:

can u explain more

pennyproud:

hey can someone help me with this questino? A brown-eyed father and a green-eyed mother have a 25% chance of having a green-eyed child. What is the probability that, in a family of four children, three of them have green eyes?

Vocaloid:

let's go back to the basic definition of independent vs dependent

Vocaloid:

also can we not interrupt other people's questions, thanks ~

pennyproud:

sorry:o

Vocaloid:

anyway, independent events means that the outcome of one trial doesn't influence the others, right? and for dependent events, the outcomes do influence the outcomes of other trials, right? applying this logic to binomial distributions and hypergeometric distributions, binomial distributions involve a series of trials that are independent b/c the probabilities of success/failure are not influenced by the other trials hypergeometric distributions involve a series of trials that are dependent b/c the probabilities are influenced by the other trials that being said which choice is the best option?

jamiesmith:

ohhh so hype always depends on the bio

jamiesmith:

okay got it

jamiesmith:

also u can help penny she seems in distress

pennyproud:

:) i just have this one question left if your done helping jamie vocaloid can you please help

Vocaloid:

which choice do you think it might be?

jamiesmith:

What is the sum of the probabilities in any probability distribution? is it 2

jamiesmith:

because it must be equal or infinite

Vocaloid:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid good, so the sum is 1/2 + 1/2 = 1 which is the case for any probability distribution \(\color{#0cbb34}{\text{End of Quote}}\)

pennyproud:

Thanks vocaloid for all the help we really appreciate it, sorry for the load of questions we brought to you....you were a great help to us!!<3

pennyproud:

*miku voice* Thank youuuuuuuuuu>.<

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