# Search results

1. ### Joint hipergeometric and binomial probability?

This is a conditional probability actually. ABCDE;E AAA;EEE was calculated as 4/45 experiment sais 0.0659658333 3/45 is very close: 0.0(6) Anyone knows how to calculate this probability properly?
2. ### What is the probability of #4

Actually the point is only the number matchings on the lottery using just 3 player numbers. This is a conditional probability problem. I experimented on matching all numbers between ABCD;EE and ABCD;EE Hypothetic (calculated) probability: 1/1260 Real probability: ~1.75/1260...
3. ### What is the probability of #4

What is the probability of the player matching exactly 3 numbers from a 10 number lottery (0...9) w/o repetition, given the conditions: - player and lottery pick 6 numbers; - player always has a repeated number; - lottery always has a repeated number. for example: 123455 123455 Here there's...
4. ### Joint hipergeometric and binomial probability?

Well, that wiki bit was inspiring, even if it that formula I posted is wrong for this problem because it's for no replacement balls. I should've posted this one instead perhaps: The general formula for B matching balls in a N choose K lottery with one bonus ball from a separate pool of P...
5. ### Joint hipergeometric and binomial probability?

I didn't calculate the probability right in the last part, it's 5040/56700, which is 0.0(8), or 4/45. Explanation: Where did I go wrong: " C(5,2)C(10-5,0)/C(10,2)=10/45 for the hipergeometric part, then, because the repeated unit can only be one of those first two that matched, it has 2/10...
6. ### Joint hipergeometric and binomial probability?

Problem solved experimentally, but need to find an elegant combinatorial formula for approximating the result instead. Also need verification of the solution below. Problem data is: sample space is numbers from 0 to 9 lottery picks 6 numbers, but only 2 are distinct (Example: 111444)...
7. ### Joint hipergeometric and binomial probability?

Have an example: 123455 111555 the sample space is 0..9 row 1 can pick 6 numbers out of which 2 are repeated row 2 can pick 6 numbers out of which 3 by 3 are repeated I want to know what is the real probability that row 1 will match with 2 distinct numbers numbers row 2, and a repeated number...