Brain Games - dare to enter ?

[Hotpeppa]

You ask a friend about probability, and he tells you the following: " The odds of three tossed coins turning up all heads
or all tails is one in two, that is fifty-fifty. That's because anytime you toss three coins, at least two must match, either two heads or two tails. So that means the third coin which is equally likely to be heads or tails determines the odds."

Is your friend right ? If not, what are the odds of three tossed coins turning up all heads or tails ?

 

[millworkman]

He is wrong. Do I need to give my reason or wait for everyone to answer?

 

[Hotpeppa]

He is wrong. Do I need to give my reason or wait for everyone to answer?

go for it..lol

 

[MrArboc]

One in four.

 

[millworkman]

Yeah, Mrarboc is right. Eight possible outcomes and two wanted outcomes, 2/8 = 1/4

 

[Hotpeppa]

One in four.

ill be sending you one thats a little more difficult..lol

 

[Hotpeppa]

here it is !

Is there a way to use three 6's to make a 7 ?

6,6,6 - 7 ?

 

[JayT]

Ok I will try to remember the probability lessons I learned years ago and take a stab at this. Without using A/B etc I'll do it in English. There are 8 possible outcomes. HHH, TTT, HHT, TTH, HTT, THH, HTH, THT Which means that the probability of one of these outcomes is (1/8)/(7/8)=14.285%

 

[Hot Canuck]

here it is !

Is there a way to use three 6's to make a 7 ?

6,6,6 - 7 ?

6/6 +6 = 7

 

[MrArboc]

 

[Hotpeppa]

6/6 +6 = 7

hmmm, too easy for you ... ill have to kick it up a knotch..lol

 

[Hotpeppa]

You need to roll a double 6 in at least one of twenty four throws. Are the odds in your favour ?

 

[Hotpeppa]

THREE COINS PARADOX -

Suppose you have three coins - one with a head and a tail, one with two heads and one with two tails - that are dropped in a hat. If you draw one coin from the hat and lay it flat on a table without looking at it, what are the chances that the hidden side is the same as the visible side ?

 

[Hot Canuck]

You need to roll a double 6 in at least one of twenty four throws. Are the odds in your favour ?

yes. 67%

 

[MrArboc]

THREE COINS PARADOX -

Suppose you have three coins - one with a head and a tail, one with two heads and one with two tails - that are dropped in a hat. If you draw one coin from the hat and lay it flat on a table without looking at it, what are the chances that the hidden side is the same as the visible side ?

2/3

 

[Hotpeppa]

ok one more !

this is too easy...

here it is !

the brain buster of the century... are you ready for it ! ?



A great number of birds sit randomly spaced on a wire, each watching its nearest neighbour: Not counting the two birds on the end of the wire, what percentage of the birds sits unwatched ?

 

[millworkman]

Blue

 

[Hotpeppa]

Blue

what do you mean blue ?

 

[millworkman]

ok, orange

 

[PwnedPepper]

potato...