Using the roll of a six-sided die and the flip of a coin, in how many ways can you obtain a heads and an even number

MATH • PROBABILITY Read the paragraph and answer the questions that follow. San Pablo City is famous for its Seven Lakes namely: Sampaloc, Bunot, Yambo, Pandin, Mahicap, Calibato, and palakpakin. Your friend from Manila will come to your house to have a one-week vacation. You suggested that you will be visiting, you decided to draw lots. So, you wrote each lake name on a piece of paper and put them in a bowl. If you wil pifk one paper from the bowl. What is the probablity that you will pick: A. Sampaloc or a lake that starts with "S"? B. A lake that starts with "P" or starts with "S"? C. Bunot or Yambo? D. Mahicap or a lake that stars with "B"? E. A lake that starts with "M" or starts with "Ү"?

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)

discrete math