The state of florida administrers several lottery gamesIn fl

The state of florida administrers several lottery games.In florida lotto, aplayer picks aset of six numbers between 1 and 53. In fantacy 5, agambler choose aset of five umbers between 1 and 36. In which game is player more likely to match at least two numbers against the ones drawn?

Solution

Lets calculate the probability for both the games,

Florida lotto: 1 - (47C6*6C0 + 47C5*6C1) / 53C6 = 0.1314 (where C is combination)

Fantacy 5: 1 - (31C5*5C0 + 31C4*5C1) / 36C5 = 0.1320

In fantacy 5, the player is more likely to match.