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05-15-2015
11:32 AM

05-15-2015
11:32 AM

Wishing you a fun-filled long weekend

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05-15-2015
12:07 PM

05-15-2015
12:07 PM

Re: Wishing you a fun-filled long weekend

Thanks. I received a PM Tweet too. Thanks

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05-15-2015
01:07 PM

05-15-2015
01:07 PM

Re: Wishing you a fun-filled long weekend

@makkahn28 - Good to know you are following us on twitter as well

Happy long weekend to you and to our fellow Community members!

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05-15-2015
01:31 PM

05-15-2015
01:31 PM

Re: Wishing you a fun-filled long weekend

Yes, thanks.

Something for the geniuses among us to ponder on the way to the cottage...

If you roll two dice, and at least one shows a 2, then what is the chance that also the other die shows a 2?

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05-15-2015
02:02 PM

05-15-2015
02:02 PM

Re: Wishing you a fun-filled long weekend

Now let's see.. we have 2 dice. If you roll one die, it can land in 6 different ways. If you roll two, they can land in 36 different ways, i.e., 6 X 6.

And we already know that at least one shows a two, so chances other dice to roll 2 is 1/6 = 16.67%.

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05-15-2015
02:35 PM

05-15-2015
02:35 PM

Re: Wishing you a fun-filled long weekend

Take care of you on this long weekend !

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05-15-2015
02:45 PM

05-15-2015
02:45 PM

Re: Wishing you a fun-filled long weekend

I'll be resting my sore back in bed. Blah!

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05-15-2015
04:22 PM

05-15-2015
04:22 PM

Re: Wishing you a fun-filled long weekend

Of the 36 possible theoretical rolls of two dice: 25 rolls show no 2 on each: 10 rolls show only one 2 on each; and 1 roll shows two 2's. When at least one die shows 2, for every 10 rolls of only one 2 each there will be 1 roll of both dice showing a 2. That means one in eleven times overall there will be a double 2. (Note that the required single 2 may be on either die. If the 2 is on the die on the left, then there are five non-2 possibilities for the die on the right; and if the 2 is on the die on the right, then there are five non-2 possibilities for the die on the left.) However, we don't have to think like mathematicians. I maintain that a better answer is one in six times. The condition that "at least one die is a 2" is the same as "one or more of the dice is a 2". Hence, the only way to properly and fully meet that condition in terms of two dice by consecutive rolls would be to look at only one die first. Were it a 2, then would have the "one a 2", and possibly the "or more a 2" by the other die. But, were it not a 2, then not possibly the "or more a 2" by the two dice in the roll. Two dice must be considered separately, ie, not as one possible outcome together of a (simultaneous) set of such possible outcomes. Note that in the sentence, "Of the 36 possible theoretical rolls of two dice: 25 rolls show no 2 on each: 10 rolls show exactly one 2 on each; and 1 roll has both dice showing a 2 at the same time," the operative word is "and". Writing "or" instead of "and" would be the mathematical approach to the condition "at least one die is a 2"; but not the physical, real-life approach to this exercise in general.

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05-18-2015
08:28 AM

05-18-2015
08:28 AM

Re: Wishing you a fun-filled long weekend

Hope everyone is having a great and safe long weekend.