Question

Ali is at a charity fundraiser and has a chance of receiving a gift. The odds in favor of receiving a gift are 4/19. Find the probability of Ali receiving a gift.

Answer 1

Simple, just divide 4 by 19 and find the decimal,
\(\dfrac{4}{19} \approx 0.211\)
then take the decimal and move it to the right 2 spaces,
\(021.1\) or just \(21\),
so your answer would be \(\approx\) 21%.

Answer 2

....

Answer 3

it would have to be a fraction though

Answer 4

i can never compete with trying to answer fast with ext here...

Answer 5

Probability is a percentage.

Answer 6

"Ali has a 21% probability of recieving a gift."

Answer 7

ig u could say 21/100 which is also equal to 21%

Answer 8

ok thx

Answer 9

np

Answer 10

You're welcome.

Answer 11

using the rule of 3 simple you can write in this way

4 gift from 19
x from 100 and now cross multiplie to calcul ethe x value

x = 4*100/19 =21%

Answer 12

ok

Answer 13

Thanks I guess? Lol.

Answer 14

but this is what the example shows

Answer 15

so i am a bit confused

Answer 16

Ohh, okay.
So just do this:
19 gifts total
4 her chances

remove 4 from 19,
19-4=15

So your probability would be `4:15`

Answer 17

oh ok

Answer 18

15 would be the amount unfavorable towards Ali, and
4 would be the favorable amount towards Ali,
19 is the total amount of gifts.

Answer 19

but when is says odds in favor what do i do

Answer 20

here is the question
A child has a box of candy which might have a toy inside. The probability of the box having a toy is 13/18. What are the odds against the box having a toy?

Answer 21

Odds in favor is 4 because the unfavorable amount is 15, and 15+4=9.

Answer 22

Oops, keyboard lagged the 1.

Answer 23

oh ok

Answer 24

so i would do 18+13
and it would be 13/31??????

Answer 25

13/18 probability,

18-13=5
5:13 probability, so the unfavorable amount would be 13.

Answer 26

Hi! Welcome to QC. Sorry for intruding, but we prefer to keep 1 question per post/thread because it is easier to handle than 20 comments in 1 single post. Hope that makes sense.

If you feel that a tutor has helped you feel free to give them a medal (:

Answer 27

\(P_\text{total}-P_\text{favorable}=P_\text{unfavorable}\)

If that makes any sense.

Answer 28

ok i get that, actually helps with a question on a quiz i might have today.

Answer 29

Example:
Probabiliy: \(\dfrac{\color{tomato}{3}}{\color{lime}{15}}\)

\(\color{lime}{15}-\color{tomato}{3}=\color{cyan}{12}\)

So you would convert this to a probability:
\(\color{tomato}{3}:\color{cyan}{12}\)
This is what your answer would be, but to check yourself \(\downarrow\)

Now if you were to change that : to a +, you would get:
\(\color{tomato}{3}+\color{cyan}{12}\) = \(\color{lime}{15}\)

Answer 30

wow, this is a mini study guide for me today

Answer 31

Eh? Same user? 🤔

Answer 32

Possibly?

Answer 33

Hmm, doesn't seem like it. Eh well, I'd close this post cause it's getting a bit long

Answer 34

@remi2019 close this post if it has been answered please, thank you.

Answer 35

no no no

You're getting it all wrong Extrinix

Answer 36

Jhonyy9 correctly pointed this out

Answer 37

You need to understand the difference between PROBABILITY and ODDS

For the initial question
`Ali is at a charity fundraiser and has a chance of receiving a gift. The odds in favor of receiving a gift are 4/19. Find the probability of Ali receiving a gift.`

The ODDS in favor of receiving a gift are 4/19
odds is chances of it happening / chances of it not happening

The way the number is listed is:
4/19

4 is the chances of getting a gift
19 is the chances of NOT getting a gift

so now when you try to calculate probability

probability is = number of the favorable outcomes divided by TOTAL number of outcomes

so we want to know the probability of getting a gift
The chance of getting a gift is 4
What is the total number of outcomes? It's going to be 4 + 19

Answer 38

can you help me with my other question i am already off of that question

Answer 39

I don't know what you're referring to by "the keyboard lagged the 1"

The work that you posted showed you subtracting 4 from 19 instead of adding it

Answer 40

You still didn't understand the concept of odds vs probability

Answer 41

Why are you saying "still" I'm not the question asker lol

Answer 42

can you just help me with my other question please

Answer 43

Yeah, but you're responding to the post

when you're talking about ODDS

odds of something occurring is
probability of the event occurring / probability of the event NOT occuring

4 / 19 means

out of a total of 4+19 outcomes

It would occur 4 times
It would NOT occur 19 times

Answer 44

but i am not on that question any more

Answer 45

and i did respond

Answer 46

4* not 3

Answer 47

\(\sf probability = \dfrac{favorable~outcomes~}{total~outcomes} = \dfrac{favorable~outcomes}{favorable~outcome+unfavorable~outcome}\)


\(\sf odds = \dfrac{favorable~outcomes}{unfavorable~outcomes}\)

Answer 48

They told us the odds

Just because the denominator is 19 does not mean that it's the total outcomes

we have to be careful and make sure whether we're dealing with odds or probability

Answer 49

If you feel like I have mistyped anything, feel free to let me know. I will remove the content

Answer 50

I guess my last attempt at trying to explain this question

https://sphweb.bumc.bu.edu/otlt/mph-modules/bs/bs704_confidence_intervals/BS704_Confidence_Intervals10.html

"The probability that an event will occur is the fraction of times you expect to see that event in many trials. Odds. Probabilities always range between 0 and 1. The odds are defined as the probability that the event will occur divided by the probability that the event will not occur."

Odds are defined as probability event occurs / event does not occur

so the 4/19 means out of a total of (4+19) times, it would occur 4 times and it would not occur 19 times

The 19 is not the total
If they said the probability was 4/19

Then it occurs 4 times out of a total of 19 times
Which means that 19 - 4 tells you how many times it's unfavorable

Answer 51

well, if you feel that the post is getting cluttered perhaps we can make a new version of it. That happened once when five people answered a question at once and it got so crazy I reposted the question off my own profile.

As I am not sure about the question contexts I will leave it up to you guys who know the material better.