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Mathematics 12 Online
OpenStudy (anonymous):

Question about probability

OpenStudy (anonymous):

OpenStudy (anonymous):

i just need help with last one

OpenStudy (anonymous):

f

OpenStudy (anonymous):

a little confusing because it does not say what the experiment is is a candy selected from each bowl??

OpenStudy (anonymous):

sorry

OpenStudy (anonymous):

OpenStudy (anonymous):

thats the full question

OpenStudy (anonymous):

really?

OpenStudy (anonymous):

for the first one i have GG, GL, GC, GR, LL, LC, LR, CC, CR, RR

OpenStudy (anonymous):

for the second one ' PP, PY, PR, YY, YR, RR

OpenStudy (anonymous):

it doesn't say "a candy is selected from each bowl" or two candies are selected from a bowl chosen at random or something??

OpenStudy (anonymous):

im not really sure for that one

OpenStudy (anonymous):

than you can't really answer can you? or you can assume that it means "select a candy from each bowl"

OpenStudy (anonymous):

i guess so

OpenStudy (anonymous):

probability that the flavours are the same is 3/10 and the probability that the colors are the same 3/6

OpenStudy (anonymous):

lets assume it means "select a candy from each bowl:

OpenStudy (anonymous):

is it P(selecting 1 grape from bowl 1) OR P(selecting 1 grape from bowl 2)

OpenStudy (anonymous):

thats what i got

OpenStudy (anonymous):

then lets do the first one you have to compute three probabilities

OpenStudy (anonymous):

\[\frac{2}{20}\times \frac{6}{20}+\frac{7}{20}\times \frac{5}{20}+\frac{8}{20}\times \frac{2}{20}+\frac{3}{20}\times \frac{7}{20}\]

OpenStudy (anonymous):

is it for C ?

OpenStudy (anonymous):

no, that is for the first one

OpenStudy (anonymous):

are you just doing f, or c-f

OpenStudy (anonymous):

oh yeah, that is C

OpenStudy (anonymous):

looks like \(\frac{21}{100}=.21\) for that one

OpenStudy (anonymous):

so, its the answer for the assumption select a candy from each bowl

OpenStudy (anonymous):

yes, your second post which i did not see says you are selecting one from each bowl

OpenStudy (anonymous):

ok, what about the d

OpenStudy (anonymous):

then it is 1 minus the answer in C

OpenStudy (anonymous):

because if they are different, they are not the same

OpenStudy (anonymous):

0.79 ?

OpenStudy (anonymous):

assuming my calculation above was correct, yes

OpenStudy (anonymous):

for the e i got 7/20 times 2/20

OpenStudy (anonymous):

no i don't think that is right

OpenStudy (anonymous):

can you help me?

OpenStudy (anonymous):

"or" is a union, you add the probabilities, then subtract off the intersection

OpenStudy (anonymous):

how?

OpenStudy (anonymous):

first is lemon, \(\frac{7}{20}\) second is cherry \(\frac{2}{20}\) both \(\frac{7}{20}\times \frac{2}{20}\)

OpenStudy (anonymous):

add the first two, subtract the third

OpenStudy (anonymous):

oh, ok

OpenStudy (anonymous):

for the last one i totally dont get it

OpenStudy (anonymous):

probably the notation is throwing you off, it is not that bad

OpenStudy (anonymous):

\[P(X=0)\] means you don't get any grape

OpenStudy (anonymous):

so, when its 0, its 0

OpenStudy (anonymous):

\[P(X=0)=\frac{18}{20}\times \frac{14}{20}\]

OpenStudy (anonymous):

didn't get a grape on the first and didn't get a grape on the second

OpenStudy (anonymous):

\[P(X=2)\] means both are grape \[\frac{2}{20}\times \frac{6}{20}\]

OpenStudy (anonymous):

got one on the first try and got one on the second try

OpenStudy (anonymous):

what about x=1?

OpenStudy (anonymous):

got one on the first try AND didn't on the second OR didn't on the first AND did on the second

OpenStudy (anonymous):

and means multiply, or means add

OpenStudy (anonymous):

\[\frac{2}{20}\times\frac{14}{20}+\frac{18}{20}\times \frac{6}{20}\]

OpenStudy (anonymous):

is that for x=1 ?

OpenStudy (anonymous):

?

OpenStudy (anonymous):

im not sure for the last part

OpenStudy (anonymous):

for the D it was wrong as the satellite73 explained before

OpenStudy (anonymous):

because they are different colors?

OpenStudy (anonymous):

because for the first bowl we pick cherry and second bowl we also have to pick cherry bowl + first bowl of rasberry and second bowl of aspberry

OpenStudy (anonymous):

because they have same color

OpenStudy (anonymous):

coudl you explain d?

OpenStudy (anonymous):

are each of the candies different colors.

OpenStudy (anonymous):

or are cherry and raspberry different colors.

OpenStudy (anonymous):

no they are same

OpenStudy (anonymous):

so there are really 3 different collors instead 4

OpenStudy (anonymous):

i guss, could you help?

OpenStudy (anonymous):

answer is not 1-C

OpenStudy (anonymous):

are you selecting one candy for each bowl or two candies from one bowl?

OpenStudy (anonymous):

two candies from one i guess

OpenStudy (anonymous):

ok, then i think you need to find the following probability. P(Grape AND Lemon) OR P(Grape AND(Cherry or Raspberry)) OR P(Lemon AND (Cherry or Raspberry))

OpenStudy (mertsj):

Find the probability that they are the same color and subtract from 1

OpenStudy (anonymous):

grape = purple lemon = yellow raspberry and cherry = red // i think its 19 because you already removed a grape P(purple and yellow) = P(purple)*P(yellow) = (2/20)*(7/19) P(purple and red) = P(purple)*P(red) = (2/20) * (11/19) P(yellow and red) = P(yellow) * P(red) = (7/20)*(11/19) add them up i think.

OpenStudy (anonymous):

what if we are selecting one candy for each bowl

OpenStudy (mertsj):

Well that's what the experiment was...select one candy from each bowl and tell the probability that they are different colors.

OpenStudy (anonymous):

but i did what you said, answer is wrong

OpenStudy (mertsj):

What did you get?

OpenStudy (mertsj):

Did you get the other stuff right?

OpenStudy (mertsj):

Did you get you sample spaces right?

OpenStudy (anonymous):

here is my sample space

OpenStudy (mertsj):

Was it correct?

OpenStudy (anonymous):

S1={GG,GL,GC,GR,LL,LG,LC,LR,CC,CR,CG,CL,RR,RG,RL,RC}

OpenStudy (anonymous):

S2={PP,PY,PR,YY,YP,YR,RR,RP,RY}

OpenStudy (anonymous):

grape = purple lemon = yellow raspberry and cherry = red

OpenStudy (anonymous):

because for the first bowl we pick cherry and second bowl we also have to pick cherry bowl + first bowl of rasberry and second bowl of resberry

OpenStudy (mertsj):

So 2/3 was wrong?

OpenStudy (anonymous):

resberry and cherry they have same collor

OpenStudy (mertsj):

Was 2/3 wrong?

OpenStudy (anonymous):

you think its 0.6 ?

OpenStudy (mertsj):

Did you get 2/3 before?

OpenStudy (anonymous):

no

OpenStudy (mertsj):

Look at your sample space. How many outcomes are in the sample space?

OpenStudy (anonymous):

16 for first one

OpenStudy (mertsj):

Are we talking about colors or flavors?

OpenStudy (anonymous):

What is the probability that the two selected candies are different colours?

OpenStudy (mertsj):

So we're talking about colors?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

D

OpenStudy (mertsj):

Then tell me how many outcomes are in the color sample space.

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