Question

Help

Answer 1

@kropot72 @jim_thompson5910

Answer 2

@zepdrix

Answer 3

what is the probability they played at home?

Answer 4

36/100?

Answer 5

or 0.36, yes

Answer 6

then 56/81?

Answer 7

wait, that's not correct

Answer 8

oh ok

Answer 9

they won 36 games at home, out of 100

so P(winning at home) = 0.36

but I wanted the probability of playing at home

Answer 10

well the good news is that 0.36 is for `the likelyhood they played at home, given they won` since the `given they won` means we only focus on the 100 games they won

Answer 11

The team played 156 games
They won 100 of them
They lost 156-100 = 56 games
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The team played 81 away games
So the team played 156-81 = 75 home games
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Home games
The team won 36 home games
The team lost 75 - 36 = 39 home games
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Away games:
The team won 100 games. The team won 36 home games, so they must have won the remaining 100-36 = 64 games on the road
The other 81-64 = 17 games played on the road were losses


Do you agree with everything so far?

Answer 12

yes wow thank you so much

Answer 13

ok we'll use this info to find the probabilities

Answer 14

`the likelihood the team won given they played at home`

things you'll need to find
* how many home games were played total?
* how many wins were at home?

Answer 15

36/156?

Answer 16

how many home games were played total?

Answer 17

So the team played 156-81 = 75 home games

Answer 18

yes so we have 36 home wins out of 75 home games

the probability they won, given they're at home, is 36/75

Answer 19

the "given at home" part means you only focus on the home games

Answer 20

that would be for the first one correct?

Answer 21

it might help to make a table