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Bear Down!


tazinib1
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IIRC, 0.16% and 59% :nerd:

 

 

The first one (winning all 4 makes sense), 20% chance (0.2) of winning each game, .2 x .2 x .2 x .2 = .0016 or .16%

 

But winning any one of the 4, with a 20% chance to win any game, wouldn't those add up, giving them an 80% chance (4 chances at 20% each) of winning any one game. Just curious how you're getting to 59%. Its been ages since I dealt with statistical probabilities so I may be way off. (I do know enough to know that one outcome does not affect the others. If you toss a coin 10 times and it comes up heads each time, the chance of tails on the next toss is still 50%. There are no odds in your favor that it starts coming up tails.)

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But winning any one of the 4, with a 20% chance to win any game, wouldn't those add up, giving them an 80% chance (4 chances at 20% each) of winning any one game.

 

 

No, because then six tries would equal 120%.

It is a fairly easy problem to solve with an advanced calculator or computer program.

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The first one (winning all 4 makes sense), 20% chance (0.2) of winning each game, .2 x .2 x .2 x .2 = .0016 or .16%

 

But winning any one of the 4, with a 20% chance to win any game, wouldn't those add up, giving them an 80% chance (4 chances at 20% each) of winning any one game. Just curious how you're getting to 59%. Its been ages since I dealt with statistical probabilities so I may be way off. (I do know enough to know that one outcome does not affect the others. If you toss a coin 10 times and it comes up heads each time, the chance of tails on the next toss is still 50%. There are no odds in your favor that it starts coming up tails.)

 

Doggy is correct. The probably of 0 wins is 41%, so the probably of at least 1 win is 100%-41%, or 59%

 

(exactally 1 win is also 41%, 2 wins is 15.36%, 3 wins is 2.56% and 4 wins is 0.16%)

P(k out of N) = ( N! / k!(N-k)! ) (pk)(qN-k)

where: N = the number of opportunities for event x to occur; k = the number of times that event x occurs or is stipulated to occur; p = the probability that event x will occur on any particular occasion; and q = the probability that event x will not occur on any particular occasion.

 

:nerd:

Edited by Big John
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Doggy is correct. The probably of 0 wins is 41%, so the probably of at least 1 win is 100%-41%, or 59%

 

(exactally 1 win is also 41%, 2 wins is 15.36%, 3 wins is 2.56% and 4 wins is 0.16%)

P(k out of N) = ( N! / k!(N-k)! ) (pk)(qN-k)

where: N = the number of opportunities for event x to occur; k = the number of times that event x occurs or is stipulated to occur; p = the probability that event x will occur on any particular occasion; and q = the probability that event x will not occur on any particular occasion.

 

:nerd:

 

 

Beat me to it.

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Doggy is correct. The probably of 0 wins is 41%, so the probably of at least 1 win is 100%-41%, or 59%

 

(exactally 1 win is also 41%, 2 wins is 15.36%, 3 wins is 2.56% and 4 wins is 0.16%)

P(k out of N) = ( N! / k!(N-k)! ) (pk)(qN-k)

where: N = the number of opportunities for event x to occur; k = the number of times that event x occurs or is stipulated to occur; p = the probability that event x will occur on any particular occasion; and q = the probability that event x will not occur on any particular occasion.

 

:nerd:

 

 

I wonder if the girl that got Peanut's autograph knows this?

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I wonder if the girl that got Peanut's autograph knows this?

 

 

Maybe the teacher thought the answer to the second question was 80%. Wouldn't surprise me.

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Maybe the teacher thought the answer to the second question was 80%. Wouldn't surprise me.

 

 

Yea, a math teacher probably would have to ask any random Huddler for help on this one.

Edited by MikesVikes
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Yea, a math teacher probably would have to ask any random Huddler for help on this one.

 

 

The average 6th grade math teacher probably would. They might be able to google it, but I doubt they will. That would require an effort!

Edited by Papajohn
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But winning any one of the 4, with a 20% chance to win any game, wouldn't those add up, giving them an 80% chance (4 chances at 20% each) of winning any one game. Just curious how you're getting to 59%. Its been ages since I dealt with statistical probabilities so I may be way off. (I do know enough to know that one outcome does not affect the others. If you toss a coin 10 times and it comes up heads each time, the chance of tails on the next toss is still 50%. There are no odds in your favor that it starts coming up tails.)

 

 

Doggy is correct. The probably of 0 wins is 41%, so the probably of at least 1 win is 100%-41%, or 59%

 

 

 

Yeah, the trick to the question is realizing the probability of at least one win is equal to 1 - probability of no wins or 1 - the probability of all four GB wins (same thing). I doubt a middle school teaches the more advanced formula that BJ referenced. That some good :nerd: there. :tup:

 

So, you do 1 - .84.

 

You can also look at flipping a coon twice as an example. What is the probability of at least one heads?

 

The four possible outcomes are:

 

H H

H T

T H

T T

 

Three of the four results have at least one heads (75%). Same as 1 - probability of both tails (.5 x .5 = 25%).

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Doggy is correct. The probably of 0 wins is 41%, so the probably of at least 1 win is 100%-41%, or 59%

 

(exactally 1 win is also 41%, 2 wins is 15.36%, 3 wins is 2.56% and 4 wins is 0.16%)

P(k out of N) = ( N! / k!(N-k)! ) (pk)(qN-k)

where: N = the number of opportunities for event x to occur; k = the number of times that event x occurs or is stipulated to occur; p = the probability that event x will occur on any particular occasion; and q = the probability that event x will not occur on any particular occasion.

 

:nerd:

 

 

:bow:

 

I used to be pretty good at math, then I got into computer programming, and seem to have forgotten quite a bit since then.

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The problem, John, is that you're smarter than any potential employers.

 

When you find the one that can keep up with you and appreciates your talents, you're set!

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Yeah, the trick to the question is realizing the probability of at least one win is equal to 1 - probability of no wins or 1 - the probability of all four GB wins (same thing). I doubt a middle school teaches the more advanced formula that BJ referenced. That some good :nerd: there. :tup:

 

So, you do 1 - .84.

 

You can also look at flipping a coon twice as an example. What is the probability of at least one heads?

 

The four possible outcomes are:

 

H H

H T

T H

T T

 

Three of the four results have at least one heads (75%). Same as 1 - probability of both tails (.5 x .5 = 25%).

 

 

Flipping coons is dangerous.

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You can also look at flipping a coon twice as an example. What is the probability of at least one heads?

 

The four possible outcomes are:

 

H H

H T

T H

T T

 

Three of the four results have at least one heads (75%). Same as 1 - probability of both tails (.5 x .5 = 25%).

 

 

So...the Packers are the heads and the Bears are the tails?

 

Got it!

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