In a similar state​ lottery, a person picks one of the​ 10,000 four-digit numbers between 0000 and 9999 and​ (with a​ $1 bet) wins ​$7500 if​ he/she gets it correct. In terms of expected​ winnings, with which game is a player better off − playing this​ game, or playing the first game in which the person wins ​$750 for a correct choice of a​ three-digit number? Justify your answer. Choose the correct answer below.

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.