Ask your own question, for FREE!
Mathematics 23 Online
remi2019:

plz help i will attach the question

remi2019:

NineTailedFox:

by watch how other people do this, i think mine is wrong

AZ:

Let's start with part A) The PROBABILITIY of unlocking the treasure chest is 13/20 That means the chances of unlocking the treasure chest is 13 The total number of outcomes is 20 So if you tried 20 times, and you only unlock the treasure chest 13 times? How many times did you NOT unlock the treasure chest? Essentially, what is 20 - 13 = ?

remi2019:

7

remi2019:

but it has to be a fraction

remi2019:

so 7/13 ??????

AZ:

7 is how many times you would NOT unlock Now look at the question, it's asking about the ODDS of UNLOCKING so we want the fraction to be the other way what are the chances of unlocking divided by the chances of not unlocking

remi2019:

7/20

AZ:

no, remember 20 is the TOTAL we want just the chances of not unlocking okay okay, let's start over again \(\sf probability = \dfrac{favorable~outcomes~}{total~outcomes} = \dfrac{favorable~outcomes}{favorable~outcome+unfavorable~outcome}\) \(\sf odds = \dfrac{favorable~outcomes}{unfavorable~outcomes}\)

AZ:

we said that the favorable outcomes is 13 the total outcomes is 20 which means that the unfavorable outcomes is 7 so what is the odds then?

remi2019:

7/13

remi2019:

no 13/7

AZ:

@remi2019 wrote:
no 13/7
There you go

AZ:

the ODDS in favor of her unlocking the chest = chances of unlocking / chances of NOT unlocking so 13/7 is correct

remi2019:

ok

remi2019:

part b?

AZ:

sure, let's get started on part b now

remi2019:

ok

remi2019:

so what would the formula be for probability

AZ:

The ODDS against choosing a blue block is 4/7 Remember \(\sf odds = \dfrac{favorable~outcomes}{unfavorable~outcomes}\) 4 is how many times we would NOT choose a blue block 7 is how many times we would choose a blue block does that make sense so far?

remi2019:

yes

AZ:

They told us the ODDS of NOT choosing a blue block so you have to be careful to not get the numbers confused otherwise we would have thought that the 4 is the number of times you do get a blue block but since the odds is against that means 4 is the number of times you don't get the blue block and 7 is the number of times you would get the blue block

remi2019:

oh ok

AZ:

Now to find the probability of getting a blue block \(\text{probability} = \dfrac{\text{(number of times you get a blue block)}}{\text{total times}}\)

remi2019:

so 3/7?????

AZ:

so you know how many times you get the blue blocks that's 7 but what is the total number of times we're choosing? It's going to be 4 + 7 that's your denominator or the bottom part of the fraction

remi2019:

oh so 7/11

AZ:

Yes you want number of times you get the blue block / total number of times that's the PROBABILITY of getting a blue block

remi2019:

oh ok thx

remi2019:

i got it right thx]

AZ:

no problem :) hopefully that made sense and gives you some more clarity on this question

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!