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/sci/ - Science & Math

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2365446 No.2365446 [Reply] [Original]

When two teams battle in a championship final, the Stars have a 54% chance of winning a game when playing at home and the Pros have a 57% chance of winning a game when playing at home. In a best-of-three matchup, the first game will be played at the Stars home field, the second game at the Pros home field and the third game back at the Stars home field.

What is the probability the Stars win the final in three games?


What kind of distribution would I use to solve this? How would I go about solving it?

>> No.2365450

Tree diagram.
/thread

>> No.2365465

>>2365450
I suppose I should've thought of this. Insofar this unit has made no use of tree diagrams whatsoever, though.

Thanks.

>> No.2365490

>>2365450
How would I take the different probabilities for each path on the tree into account? Every time I've encountered a tree diagram up to this point every path has had the same probability.

>> No.2365502

Never mind, I figured it out

>> No.2365506

>>2365490
Really, newmathfag?
To find the probability of any one branch, multiply together all the probabilities it went through. Example:
The Stars win the first game, but the Pros win the next two. Let us represent this event as "X".
P(X) = 0.54*0.57*0.46 = 0.141588

>> No.2365517

>>2365502
>>2365506