Give any event with a probability of happening less than 1/1000000 but greater than 0. The probability of your given event needs to be verifiable.

Question

This is a question for my Statistics exam, I have no idea how to get such an answer. Any help with an explanation would be greatly appreciated. 

Answer 1

If you have 2,000,000 pieces of paper and all of them are blank except one piece which has your name on it.

Put them all in a rotating bin. You reach in the bin and pick out one piece of paper. If you pick the piece with your name on it, you win a prize. The probability of picking the piece of paper with your name on it is 1/2,000,000.

The probability of an event occurring is : (the number of ways the event can occur)/(the total number of equally likely outcomes)=1/2,000,000

1/2,000,000=0.0000005 whereas 1/1,000,000=0.000001

0.0000005<0.000001

 

Another example...

There is a game where you have to choose a 7-digit number with all the digits in the exact order as the 7-digit number in the game. How many 7-digit numbers are there with preceding 0's allowed ?

There are 10,000,000 of them.

The probability of you picking the correct 7-digit number is 1/10,000,000=0.0000001 which is less than 0.000001

The numbers are:

0000000

0000001

0000002

0000003

.

.

.

9999990

9999991

9999992

9999993

9999994

9999995

9999996

9999997

9999998

9999999