if there is a 60% chance of rain tomorrow and a 40% chance of wind and rain, what is the probability that it is windy, given that it is rainy.
Round your answer to the nearest percent.
A:33%
B67%
C:71%
D:78%

Question

if there is a 60% chance of rain tomorrow and a 40% chance of wind and rain, what is the probability that it is windy, given that it is rainy. 
Round your answer to the nearest percent.
A:33%
B67%
C:71%
D:78%

love.kat123 · Answer

i shall help u XD

anonymous · Answer

thank you

love.kat123 · Answer

hold on a sec

love.kat123 · Answer

i would say A not sure tho

anonymous · Answer

$$P(A | B) =\frac{ P(A \cap B) }{ P(B) }$$

anonymous · Answer

pgpilot do you agree with A?

anonymous · Answer

if B is the event that it is rainy and A is the event that it is windy then
$$P(\text{Windy|Rainy})=\frac{ P(\text{Windy AND Rainy}) }{ P(\text{Rainy}) }$$

anonymous · Answer

then you substitute the values?

anonymous · Answer

no... .4/.6 = 2/3 = .66666666....

anonymous · Answer

so its 67%

anonymous · Answer

yep.  conditional probability.  time to learn it!

anonymous · Answer

im on the lesson right now. stupid apex doesn't explain things very well. thanks

love.kat123 · Answer

well its a good thing u didnt pick A sorry i was wrong

anonymous · Answer

here's a link that may help... https://onlinecourses.science.psu.edu/stat414/node/10

anonymous · Answer

it does a pretty good job.

anonymous · Answer

there also other probability topics you can review as well

anonymous · Answer

ty bb