Help me to answer this Tricky Question

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There were 3 friends who gave $75 to a shopkeeper to purchase a particular item. The shopkeeper returned them $5 and said he has offered them a discount. The 3 friends took $1 each and threw $2 on the road so that they can share the money easily without conflict. So, each one of they had to pay $24 each. Right?

Now, $24 x 3 = $72
ADD the $2 they threw on the road.
It comes upto $74.

The question is, where did the $1 go?
^ Wrong - it's not 'ADD the $2', it's 'SUBTRACT the $2', which comes to $70 (their discounted price).
 
I remember being posed this question when younger. It works better when nothing is wrote down and it's all spoken, because you do scratch your head a bit more, especially if it's spoken through correctly.

The Monty Hall Paradox was always my favourite for causing lots of head scratching, bemusement and heated debate...


You're on a game show and you're presented with 3 doors. Behind 2 doors are goats and behind one a car.

The host asks you to pick a door to open. You pick door 1.

The host, who knows what's behind each door, then opens door 2 revealing a goat. He then asks if you want to swap.

Should you swap?








Answer: You should always swap. :)
 
[ame="http://www.youtube.com/watch?v=6Rl_p3JlSd0"]YouTube - 21, The Movie: Variable Change[/ame]

[A] You pick the car, host shows a goat, you switch to a goat and lose.

You pick goat #1, host shows goat #2, you switch to the car and win.

[C] You pick goat #2, host shows goat #1, you switch to the car and win.

That gives you a 2/3 or 66.67 % chance of winning.

PS ^ Good movie.
 
There were 3 friends who gave $75 to a shopkeeper to purchase a particular item. The shopkeeper returned them $5 and said he has offered them a discount. The 3 friends took $1 each and threw $2 on the road so that they can share the money easily without conflict. So, each one of they had to pay $24 each. Right?

Now, $24 x 3 = $72
ADD the $2 they threw on the road.
It comes upto $74.

The question is, where did the $1 go?
The solution:
if you're finding how much money each one paid then you subtract the 2 dollars not add it. That gives you $70. Collectively they paid $70 not $75.

The riddle's purpose is to try to distract you into thinking you're trying to find the $75 by accounting for the $2 first paid then giving you the math for the ending paid.