Player pays a fee, then reaches into a large jar and picks out a ball. The jar contains one ball for each letter of the alphabet. If the players picks out a ball with a vowel on it, the player wins 500 dollars. If the player picks out a ball with a consonant on it, the player wins nothing.   What fee should be charged to play this game in order for it to be considered a fair game?

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)

A teacher wants to assign 4 different tasks to her 4 students. In how many possible ways can she do it? a.24           b. 12         c. 6        d. 42

A raffle is going to be held in which the winner will get $200. If 1000 tickets are to be sold, what is the fair price for a ticket?