Probability Challenge

Reply #3

Orange71 — Wed, 01 Mar 2023 17:09:14 GMT

I don't think the question can be answered as posited. Are {W1}, {W2} and {W3} mutually exclusive (i.e. intersection = Ø}? What about the other probabilities of 0, 1, 2, 3, 4, and 5 set members being picked for each set

Reply #2

Wavepack — Fri, 10 Feb 2023 21:29:29 GMT

Yes. W ij {1,2,...,n}, where for Powerball, n=69. {W 1i } are distinct. {W 2i } are distinct. {W 3i } are distinct.

Reply #1

cottoneyedjoe — Thu, 09 Feb 2023 23:52:03 GMT

I'm a little unclear on what {W 1i }, {W 2i }, and {W 3i } are. Are these subsets of {1, 2, ..., n}, where n is the number of balls in a Fantasy Five type draw game in which the lottery draws 5 distinct numbers from {1, 2, ..., n} and players win prizes for matching 2, 3, 4, or 5 out of 5

Probability Challenge

Wavepack — Wed, 08 Feb 2023 17:05:13 GMT

i {1,2,3,4,5}

{W 1i } balls have a 36% probability of one set member occurring next draw.

{W 2i } balls have a 12% probability of two set members occurring next draw.

{W 3i } balls have a 2% probability of 3 set members occurring next draw.

Overlap between the sets is possible.

How do you choose 5 members from union{W 1i ,W 2i ,W 3i } to maximize the probability of 4 or 5 members being picked next draw