47 Choosing six lottery numbers that match six randomly 48. Choosing five lotter

Question

47 Choosing six lottery numbers that match six randomly 48. Choosing five lottery numbers that match five randomly 49, Being dealt 5 cards from a standard 52-card deck, and 50. Guessing the top three winners (in order) from a group of 51, Guessing the top three winners (in any order) from a group selected balls when the balls are numbered 1 through 36 selected balls when the balls are numbered 1 through 42 the cards are a 10. jack, queen, king. and ace, all of the same suit eight finalists in a soccer tournament of 20 finalists in a spelling bee students, 7 of whom are from Ohio four of a kind (for example, four aces 52. Randomly selecting 3 Ohio students from a group of 16 53. Being dealt 5 cards from a standard 52-card deck and getting

Explanation / Answer

47:

Here order of numbers is not important. There are 36 numbers so number of ways of selecting 6 numbers out of 36 is

C(36, 6 ) = 36! / (30! 6!) = 1947792

Out of these possible ways, only one is correct so

1 / 1947792 = 0.0000005134

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