Question

The 2013 Lakers lead a halftime 60% of the time. When they lead at the half, they end up losing the game 70% of the time, When they are losing at the half, they lose the game 90% of the time. What is the total winning percentage for the lakers?

Answer 1

Let's use letters.

Answer 2

HLead : lead at half time
HLose : lose at half time
W : win
L : lose

Answer 3

Write all the information in the statement using these letters.

`The 2013 Lakers lead a halftime 60% of the time.`
P(HLead) = 0.6

`When they lead at the half, they end up losing the game 70% of the time.`
P(L | HLead) = 0.7

`When they are losing at the half, they lose the game 90% of the time.`
P(L | HLose) = 0.9

`What is the total winning percentage for the lakers?`
P(W) = ?

okay with the translation to math?

Answer 4

yea

Answer 5

Suppose we manage to compute P(Lose). Then what is P(Win) = ?

Answer 6

1- that

Answer 7

yes. Given the info in the statement, we can try to compute P(Lose) like this:

P(Lose) = P(Lose | HLead) P(HLead) + P(Lose | HLose) P(HLose)

Try :)

Answer 8

is that a division sign can u please draw it out for me

Answer 9

It is a vertical bar meaning "given that". (Conditional probability)
P(A|B)

Answer 10

The statement is giving info like this:
`probability of losing WHEN they are losing at halftime`
= `probability of losing given 'losing at halftime`
= P(lose | lose at half time)