Any Mathematicians or Statisticians Here?

I’m hopeless at maths and my brain doesn’t even want to contemplate the answer, however, how do the odds decrease as you go down the pack. If each time you flip a coin the odds of it being heads are always 50/50 however many times you do it so in the same way how do the odds of the cards decrease. I’ve probably got this wrong, never good at maths questions.

Flipping a coin and rolling the die are different because the number of options remains the same each time. With the coin there are always only two sides, with the die there are always only 6 sides.

With the cards as the 'guessed' card is removed the number of cards remaining in the deck gets fewer each time, so therefor for each individual guess the odds decrease. As in the example above when you have just two cards left the chances of guessing correctly have gone down to 50/50 or 1 in 2.

It is this that make the answer more difficult, well for me anyway!

KH

The odds of guessing all 52 cards correctly are

52 x 51 x 50 x 49 x ................and so on >>>.........................................3 x 2 to 1

A big number

80658175170943878571660636856403766975289505440883277824000000000000 to 1

I believe from my schoolboy maths that is called "Factorial" 52

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Thanks RogerP1956

Not very likely then!

Actually it is simpler than I thought. 

Thank you very much for your help.

KH

I'm not disputing your answer for one minute . But how on earth did you obtain it ? Must of used a very good computer maths programme , or a complete roll of wallpaper .🤔😁.

Is this any good? 

David

The user and all related content has been Deleted User

This is why some betting companies do so well....

Apologies for coming in late but it's my birthday so the following may be incorrect due to alcoholic influences - I'll check when I'm sober.

Firstly there is difference probability and odds in the way they are worked out. They are not the same, although for very large numbers they approach the same value - see below.

A simple example: tossing a coin the probability of getting a head is 0.5 but the odds are 1:1. or one to one. 

If the probability of winning something 0.25 then the odds are 1 : 3

Odd are calculated by:

(probability of something happening) divided by (1 - that probability)

Odd are usually expressed as a ratio

Probabilites must be expressed as a fraction or its equivalent. 

 

As I said for very large numbers then the two begin to approach each other, in the example given about the die the probability is

1/6 x 1/6 x 1/6 x 1/6 1/6 x 1/6 = 1/46656 but the odds are 1 : 46655 

So the probability is 1/52! and because the number is so huge that the odds will be almost be 1:52!

And the pack is not new or unshuffled.

Glass of wine please! 

 

 

Ok my turn:

if I give you the whole numbers from 1 to 15, can you rearrange them into a new order where every two adjacent numbers add to give a square number?

When I'm sober and if I remember posting I'll give you the answer. NO using google!