The probability of snow for each of the next three days is $\frac{3}{4}$. What is the probability that it will not snow at all during the next three days? Express your answer as a common fraction.

3/4 *3/4 *3/4  = 27/64    this is the proabability that is DOES snow every day.

1-27/64 = 37/64             this is the proabability that is DOES NOT snow EVERY day.

1/4 is the prob that is DOES NOT snow on any individual day  

1/(4^3) = 1/64               IS the probability that is does not snow AT ALL for the 3 days.

Sorry Mellie but the answer that you have is NOT correct.

Correction, it is just as correct as CPhill answer - it its the question that must be wrong!!!

It's one fourth? Seems too simple. Sorry guys

Could it be 37/64? Because each of the three days?

Probability of no snow on 1st day = 1/4

P(no snow 1st day AND no snow 2nd day AND no snow 3rd day)

= 1/4 x 1/4 x 1/4

= 1/64

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Mellie....I'm assuming that the probability is (3/4) each day.....

So   (3/4) ^3 = 27/64

So.....the probability that it will not snow at all = [ 1 - 27/64 ]  =[ 64/64  - 27/64 ] = 37/64

I think your second answer looks good......!!!!

Mmmm.....Badinage's answer seems logical, too.....help, Melody  !!!!!

Chris, you  have found that probability that it will not snow every day.

Badinage has hound the probability that it will not snow on any day.

So

I am with Badinage on this one :))

Good work Badinage   

Thanks.......I knew it probably wasn't correct......d****t!!!!

Hey Mellie, how come you gave CPhill 5 points and not us.  He is the only one who got it wrong.  :/ :/   

What is in that flask you are carrying  ????

That's payback for claiming that you "lost" the knfe.......!!!!!

Your answer was correct Chris.  

 Just Melllie asked the wrong question!  

It's Mellie's fault!     

She has been drinking virtual alcohol you know.    (I am whispering so she won't hear me)     

The answer was actually 37/64. Sorry guys!!

Oh the knife, I forgot, Mellie do you want your cake now?

No thanks!!!

where did 37/64 come from?   Sounds a bit fishy to me.   

 IT might have too much protein.

It would be 3/4*3/4*3/4 for each of the three days. So the denominator would be the total. You subtract the numerator from the denominator because you want the opposite of the info they gave you. 

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Haha. Everybody was right, but answered a different question :)

I see  but on my assignment, it was considered right. Thanks everybody!!

Yes well, it was not right - maybe your teacher made a mistake.      

Haha. It's an online program. 

> The probability of snow for each of the next three days is 3/4

If we denote the probability of snow on any one day as P(S) then in my working I interpreted the above statement to mean P(S) = 0.75

HOWEVER, it is possible that the 3/4 probability is actually the probability of three consecutive days of snow, i.e., of no snow-free days,

so P(S)*P(S)*P(S) = 3/4

making P(S) = cube_root(0.75) ≈ 0.9086

Therefore, P(no snow) * P(no snow) * P(no snow)

= (1 - cube_root(0.75))^3

This is approx 0.0007645

These are the only 2 interpretations I would entertain.

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