Reference no: EM132332008

1. You've placed three coins in a jar ; one normal, one doubled-headed and one double-tailed. Someone selects a coin uniformly at random from the jar and tosses it. If it comes up heads, what's the probability the coin is fair?

2. How many ways are there to tile a 2-by-10 board with 2-by-1 dominoes?

3. A box contains 5 red balls, 3 blue balls, and 2 white balls. If 4 balls are selected with replacent, Find the probability of getting 2 red balls, one blue ball, and one white ball.

4. A class room contains 71 students. 10 of them are chinese, 24 are japanese and 37 are filipinos. If three students are randomly askded to get out of the room, one after the other, what are the probabilities that all 3 students are filipinos.