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Mathematics 20 Online
OpenStudy (samirahdanyel):

A spinner contains four sections: red, blue, green, and yellow. Joaquin spins the spinner twice. The set of outcomes is given as S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}. If the random variable is “yellow (Y),” which of the following is the correct probability distribution?

OpenStudy (samirahdanyel):

OpenStudy (misty1212):

HI!!

OpenStudy (samirahdanyel):

hi!!

OpenStudy (misty1212):

you have 16 outcomes right? how many of those contain no Y?

OpenStudy (samirahdanyel):

i dont understand

OpenStudy (misty1212):

\[ S =\{RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY\}\]

OpenStudy (misty1212):

i see sixteen pairs there

OpenStudy (samirahdanyel):

9 of them contain no y

OpenStudy (misty1212):

right

OpenStudy (misty1212):

so the probability you get no Y's i.e. \(P(X=0)=\frac{9}{16}\)

OpenStudy (samirahdanyel):

okay

OpenStudy (samirahdanyel):

I think the answer is the last one

OpenStudy (misty1212):

i don't

OpenStudy (misty1212):

did you turn \(\frac{9}{16}\) in to a decimal?

OpenStudy (samirahdanyel):

you get 0.5625

OpenStudy (misty1212):

yes so it is definitely not the last one, is it?

OpenStudy (samirahdanyel):

nope , its the first one

OpenStudy (misty1212):

yup

OpenStudy (samirahdanyel):

wow amazing thank you

OpenStudy (misty1212):

\[\color\magenta\heartsuit\]

OpenStudy (samirahdanyel):

can you help me with a couple of more

OpenStudy (misty1212):

sure if i can

OpenStudy (samirahdanyel):

okay thank you

OpenStudy (samirahdanyel):

im gonna start a new question up

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