Question

Consider a Poker game where an opponent tells you that the five cards she or he holds (and which you cannot see) represent a hand that beats 60% of all other possible hands. (If you aren't that familiar with Poker, a quick web search will help you understand the relationships between terrible and excellent poker hands -- with better hands having lower probability)

Discuss how you would use that knowledge, along with the Hypergeometric Distribution, to correctly identify the hand your opponent is holding. Be very specific in describing your step by step approach to solving the problem. Exactly what probabilities would you be calculating, in what order, and why? How accurate can you be, and why can’t you be more accurate than that?

Hint: There are over two million possible 5-card Poker hands... ₅₂C₅

Answer 1

In the event that you need to win, at that point pick the hand getting third position .i.e.," four of a sort" a hand where four cards are the majority of a similar position.

You can likewise win by picking cards that has a place with the hand of either rank first or second.

At the point when if in this way is clear about how might you win by following  these system how might one be more precise than this!

On the off chance that you need ,you can take risk you may/may not win since there is no 100% likelihood that you win by picking hands likelihood that you win by picking hands from among fifth to tenth positions.

Except,when your adversary lied saying he/she can win 60% of frequently hands.

So,the rival is holding "full house" hand.that is of fourth position among 10,when she can win precisely 60% of different hands

On the off chance that it isn't actually 60% i.e.,

On the off chance that it is beyond what 60% or we can say at any rate 60% then the rival is said to hold.

Either 4th,3rd,2nd or first hand.i.e.,

Full house,four at a kind,straight flush or illustrious flush.

Furthermore, we can't be more exact than this as those are the main potential feels that can occur and we considered every conceivable thing that may occur.