Small chance equals Impossible?
Posted: Mon Feb 06, 2006 9:22 am
Many have proposed that a small chance of something occuring is the same as stating that the event occuring is impossible.
Lets demonstrate this.
I have a deck of the 101 dalmations. Now I shuffle this deck and lay out the cards one by one. What are the chances that the specific order of the cards will be dealt?
Well thats simply 101!
or
1 out of 9,425,947,759,838,359,420,851,623,124,482,936,749,562,312,794, 702,543,768,327,889,353,416,977,599,316,221,476,503,087,861, 591,808,346,911,623,490,003,549,599,583,369,706,302,603,264, 000,000,000,000,000,000,000,000
Or 1 out of 9*10^159
Every time I do this it's the same probability yet everytime I do this it does occur!
So in short small odds does not equate to impossibility.
Now the confusion may come from mathematicians making comparisons.
Let us suppose that there is only one red card in this deck.
The odds of the deal beginning with this red dalmation is small compared to this not occuring. In this case it is almost impossible that this will occur in comparison to the other possibility.
But as seen from the first example it is not impossible.
Lets demonstrate this.
I have a deck of the 101 dalmations. Now I shuffle this deck and lay out the cards one by one. What are the chances that the specific order of the cards will be dealt?
Well thats simply 101!
or
1 out of 9,425,947,759,838,359,420,851,623,124,482,936,749,562,312,794, 702,543,768,327,889,353,416,977,599,316,221,476,503,087,861, 591,808,346,911,623,490,003,549,599,583,369,706,302,603,264, 000,000,000,000,000,000,000,000
Or 1 out of 9*10^159
Every time I do this it's the same probability yet everytime I do this it does occur!
So in short small odds does not equate to impossibility.
Now the confusion may come from mathematicians making comparisons.
Let us suppose that there is only one red card in this deck.
The odds of the deal beginning with this red dalmation is small compared to this not occuring. In this case it is almost impossible that this will occur in comparison to the other possibility.
But as seen from the first example it is not impossible.