Draw a five card hand from a well-shuffled standard deck of cards. What is the chance that at least one card is an ace? (Answer correctly to three decimal places.) What is the chance that at least one card is a spade? (Answer correctly to three decimal places.)

Suppose you draw a card from a well-shuffled deck of 52 cards. What is the probability of drawing a 4 or a jack? P(4 or jack) = (Simplify your answer. Type an integer or a fraction.)

With two dice, the probability of rolling a 4 is higher than the probability of rolling an 10 with one roll. O True False

Suppose you play a game of rolling a 12-face die. You win if you roll a “3” or “6” or “9”. Otherwise, you lose. a. What is the probability of winning a game? Your answer is 1/4 . Write your answer in decimal number. b.   What is the probability of losing a game? Your answer is   Write your answer in decimal number. c. Suppose you pay $10 to play the game. You get $10 if you win. Otherwise, you lose the $10. What is your expected value of betting on “3”, “6”, “9”. Hint: 10 x (probability of winning) + (–10) x (probability of losing). Your answer is   Write your answer in decimal number. d. What is your expected value of betting on “3”, “6”, “9” for 50 times. Your answer is