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Mathematics 17 Online
OpenStudy (lindseyhope123):

Help

OpenStudy (lindseyhope123):

OpenStudy (lindseyhope123):

@mathmate

OpenStudy (lindseyhope123):

please help me

OpenStudy (mathmate):

@LindseyHope123 Do you know what kind of diagram is shown in the questoin?

OpenStudy (lindseyhope123):

a tree diagram

OpenStudy (mathmate):

Good! Can you tell me what the (empty) highlighted fraction is supposed to represent?

OpenStudy (lindseyhope123):

the fraction of the pennies from the second coin?

OpenStudy (mathmate):

Close,but not close enough! A tree diagram in probability is to represent the probability of particular outcomes at each node (where the fractions are). |dw:1465339902099:dw| Take the example above, 1/2 on the top line is the probability that the outcome will take this line.The resulting outcome is head, with a probability of 1/2. The same goes for Tail. Following so far?

OpenStudy (lindseyhope123):

yes

OpenStudy (mathmate):

What happens if we make a second throw? Can you complete the tree diagram?

OpenStudy (lindseyhope123):

so would i divide 1/2 again from the 1/2

OpenStudy (mathmate):

Yes, but more like multiply. So how many branches after the second toss? Can you complete the diagram?

OpenStudy (lindseyhope123):

so it would be 1/4 and there would be 3 branches?

OpenStudy (mathmate):

There would be four branches, like this: |dw:1465341064359:dw| so that each possible outcome has a branch.

OpenStudy (mathmate):

To summarize, - probability of outcome is the product of probabilities of the branch and the previous probability. - there should be a branch for every outcome - the total of probabilities of outcomes for each step should be one. Example: after first step, 1/2+1/2=1 after second step: 1/4+1/4+1/4+1/4=1 Are you following?

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