1) We are creating a new card game with a new deck. Unlike the normal deck that

Question

1) We are creating a new card game with a new deck. Unlike the normal deck that has 13 ranks (Ace through King) and 4 Suits (hearts, diamonds, spades, and clubs), our deck will be made up of the following. Each card will have: i) One rank from 1 to 10. ii One of 5 different suits. Hence, there are 50 cards in the deck with 10 ranks for each of the 5 different suits, and none of the cards will be face cards! So, a card rank 11 would just have an 11 on it. Hence, there is no discussion of "royal" anything since there won't be any cards that are "royalty" like King or Queen, and no face cards! The game is played by dealing each player 5 cards from the deck. Our goal is to determine which hands would beat other hands using probability. Obviously the hands that are harder to get (i.e. are more rare) should beat hands that are easier to get.

Explanation / Answer

h)

in that we have 50 cards and we need to take 5 cards.so prob=5/50=1/10

5!=120 ways are there to take straight wflush.so prob=5/10

so straight flush probability=0.5000000

i)

50C5=50*49*48*47*46/1*2*3*4*5=2118760 ways are there for getting same suit.

without straight we can get 2118760-120=2118640

j)50C5=50*49*48*47*46/1*2*3*4*5=2118760 ways are there for getting same suit.

without straight we can get 2118760-120=2118640

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