Daniellelovee
  • Daniellelovee
the probability that Michael makes a free throw is 0.45. Probability distribution that represents the number of free throws made when Michael makes two free throw attempts in a row?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Daniellelovee
  • Daniellelovee
@jim_thompson5910 @Lurker
Lurker
  • Lurker
okay so
Lurker
  • Lurker
okay so the way a probability distribution works, is that it tells you what probaiblity of all the outcomes

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Lurker
  • Lurker
there are 3 outcomes here 0 out of 2 free throws made 1 out of 2 2 out of 2
Lurker
  • Lurker
what is the proability associated with eacch outcome?
Daniellelovee
  • Daniellelovee
is 0 equal to 0.3025?
Lurker
  • Lurker
|dw:1446529211718:dw|
Lurker
  • Lurker
can u tell me how u got that, so i can see if its right
Daniellelovee
  • Daniellelovee
doing the probability formula?
Lurker
  • Lurker
okay so here let me help u clear any doubts out
Lurker
  • Lurker
Success/Fail
Lurker
  • Lurker
|dw:1446529485512:dw|
Lurker
  • Lurker
okay so out of all the possibilities there is only 1 where there are 3 FAILs
Lurker
  • Lurker
|dw:1446529573801:dw|
Lurker
  • Lurker
0.55 of 0.55 of 0.55 of the time it will be F,F,F
Lurker
  • Lurker
0.55^3 is the prob of 3 fails or no free throws made
Daniellelovee
  • Daniellelovee
shouldnt it be 0.45^3?
Lurker
  • Lurker
that is S,S,S thats when he makes all the free thrwos
Daniellelovee
  • Daniellelovee
oh ok
Lurker
  • Lurker
I think you should really really understand that tree diagram, its very very important
Lurker
  • Lurker
it's probably the single most important thing in all of your probability learning
Lurker
  • Lurker
once u understand that, only then can you continue on in life
Daniellelovee
  • Daniellelovee
lol alright
Daniellelovee
  • Daniellelovee
then explain please
Daniellelovee
  • Daniellelovee
@jim_thompson5910
Lurker
  • Lurker
okay so tell me what u need to understand about tree diagram
Daniellelovee
  • Daniellelovee
I get that is dividing success over fails
Daniellelovee
  • Daniellelovee
but idk how to apply it to this problem
Lurker
  • Lurker
what do u mean dividing sucess over fails
Daniellelovee
  • Daniellelovee
that the probability that he has of successing in the throw is over the probability of him failing
Lurker
  • Lurker
no thats not right
Daniellelovee
  • Daniellelovee
then im lost :/
Lurker
  • Lurker
okay lets try a more fundemantal problem
Lurker
  • Lurker
coin tosses
Lurker
  • Lurker
|dw:1446530407897:dw|
Lurker
  • Lurker
can you tell me what this tree diagram represents
Daniellelovee
  • Daniellelovee
the probability for heads or tails?
Lurker
  • Lurker
be more specific
Lurker
  • Lurker
how many coin tosses does it talk about here
Daniellelovee
  • Daniellelovee
1
Lurker
  • Lurker
nope
Lurker
  • Lurker
this whole tree diagram represents everything that can happen in 2 coin flips
Daniellelovee
  • Daniellelovee
but 0.5+0.5 is 1
Lurker
  • Lurker
yes
Lurker
  • Lurker
so?
Daniellelovee
  • Daniellelovee
thats why I thought 1
Lurker
  • Lurker
okay lets take it slow, i think right now u are not fully understanding, okay :)
Lurker
  • Lurker
im gonna make this fun for u
Lurker
  • Lurker
probability is very easy once u get it
Lurker
  • Lurker
okay so lets talk about 2 coin flips okay
Lurker
  • Lurker
so u flip one coin, and its either heads or tails, 1/2 of the time its heads, 1/2 of the time its tails. When you flip the coin again, there can be 2 previous conditions when u are flipping it for the 2nd time, you could have either gotten heads, or you could have gotten tails, there is 1/2 chace u are in the cases of heads first and 1/2 chance u are in the case of tails first now with in that 1/2 chance there is a new set of heads or tails, so 1/2 of that 1/2 chance its heads and 1/2 of that 1/2 chance its tails now
Lurker
  • Lurker
|dw:1446530754560:dw|
Lurker
  • Lurker
|dw:1446530795277:dw|
Lurker
  • Lurker
1/2 of 1/2 = 1/4 so each of these paths happens a quarter of the time |dw:1446530940708:dw|
Lurker
  • Lurker
|dw:1446530963640:dw|
Lurker
  • Lurker
are you understanding?
Lurker
  • Lurker
the only difference for your problem is now H and T are not exactly 1/2 and 1/2 chance but, 0.45 and 0.55 chance
Daniellelovee
  • Daniellelovee
yes
Lurker
  • Lurker
xD
Daniellelovee
  • Daniellelovee
lol whats funny (I know I suck with probability xD)
Lurker
  • Lurker
noo noo lol u dont!! i promise u once u get this ull laugh
Daniellelovee
  • Daniellelovee
i dont know lol I hope so but im sleepy as well xD
Lurker
  • Lurker
okay so what we are really doing with your problem is we are trying to figure out what the probability of each path is
Lurker
  • Lurker
for the 2 coins there are 4 paths and all of them happen with 1/4th probability
Lurker
  • Lurker
|dw:1446531226338:dw|
Lurker
  • Lurker
|dw:1446531254391:dw|
Daniellelovee
  • Daniellelovee
and since mine are 2 throws it would be 4 paths as well?
Lurker
  • Lurker
yep!
Lurker
  • Lurker
except the only different is its not an even split okay u see how 1/4 and 1/4 added upto the 1/2
Lurker
  • Lurker
|dw:1446531342504:dw|
Lurker
  • Lurker
now we will have a different kind of split adding p to 0.45!
Daniellelovee
  • Daniellelovee
yeah I got 9/20 and 11/20
Daniellelovee
  • Daniellelovee
for the 0.45 and 0.55
Lurker
  • Lurker
|dw:1446531358565:dw|
Lurker
  • Lurker
0.45 = 9/20 yes that is its fraction equivalent
Lurker
  • Lurker
|dw:1446531447437:dw|
Daniellelovee
  • Daniellelovee
and the 0.45 divided by 2 would be 9/40 and 0.55 is 11.40
Lurker
  • Lurker
now find the probability of each of these 4 paths
Lurker
  • Lurker
xD no why u dividing by 2
Daniellelovee
  • Daniellelovee
because one the 1/2 one it showed as 1/4
Lurker
  • Lurker
okay so look at the 2 SS case where its S and S
Lurker
  • Lurker
|dw:1446531551028:dw|
Lurker
  • Lurker
9/20 * 9/20 = SS, the prob of scoring tiwce
Daniellelovee
  • Daniellelovee
ohhh ok I got it now hold on
Daniellelovee
  • Daniellelovee
then the second one would be 0.495
Lurker
  • Lurker
which 2nd one
Daniellelovee
  • Daniellelovee
|dw:1446531730310:dw|
Lurker
  • Lurker
oooo i think this is looking right
Lurker
  • Lurker
1 is definately right
Daniellelovee
  • Daniellelovee
finally!!!
Lurker
  • Lurker
but 0 and 2 are wrong
Lurker
  • Lurker
|dw:1446531863998:dw|
Lurker
  • Lurker
for there to be 0 it means u had FF|dw:1446531902600:dw|