A​ role-playing game uses a die that has eighteight sides numbered 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma and 81, 2, 3, 4, 5, 6, 7, and 8. How many branches would a tree diagram have that shows the way two eighteight​-sided die could be​ rolled? The tree diagram would have nothingm branches.

Dr. A. Ventura is interested in determining what kinds and how many pets people own in Bakersfield. He stands outside Petco and asks people what kind of pet they own. This is the result of his survey: dog=1; cat=2; bird=3; reptile=4; fish=5; other=6 1,1,2,2,2,1,1,3,2,3,1,1,1,2,2,4,4,2,2,1,1,1,5,4,3,4,1,1,1,2,2,6,1,1,2,2,1,2,1,2,6,3,4,5

Catalina participates in a game that consists of spinning a roulette with 6 segments of the same size numbered from 1 to 6. The roulette randomly stops at a numbered segment.This is the game: Catalina spins the wheel only once. She wins $ 1 if the wheel stops at number 1, $ 3 if the wheel stops at number 2, $ 5 if the wheel stops at number 3, and $ 7 if the wheel stops at number 4. She loses $ 1.25 if roulette stops at 5 or 6. (a) Calculate the expected value of participating in the game.____ pesos b) What can Catalina expect in the long run after playing several times?1) Catalina can expect to earn money.She can expect to earn ___ pesos per spin of the roulette wheel. 2) Catalina can expect to lose money.She can expect to lose ___ pesos per spin of the roulette wheel. 3) Catalina can expect to draw (she neither wins nor loses money)

Find the number of full houses in a poker hand, that is, the number of poker hands with three of a kind and two of a kind.