Consider the following card game with a well-shuffled deck of cards. If you draw a red card, you win nothing. If you get a spade, you win $62.91. For any club, you win $77.3 plus an extra $59.99 for the ace of clubs. What is the expected value of your winnings if you play the game? Round your answer to five decimal places. In a new card game, you start by paying $26.51. From a well-shuffled full deck of cards draw 3 cards without replacement. If you draw 3 hearts, you win $279.12. If you draw 3 black cards, you win $253.69. For any other draws, you win nothing. What is your expected winnings in this game? Round your answer to five decimal places. Large black-tailed gulls usually lay one to three eggs, and rarely have a fourth egg clutch. It is thought that clutch sizes are limited by how effectively parents can incubate their eggs. Suppose that on average, gulls have a 29.9% of laying 1 egg, 28.7% of laying 2 eggs, 30.4 % chance of laying 3 eggs, and 11% chance of laying 4 eggs. What is the expected value of the number of eggs laid by a random sample of 100 gulls? Round your answer to five decimal places.