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