Ihave a standard 52 card deck. one by one, i draw cards from the deck and place them face up in front of you (without putting them back). at any point, you may stop me and say a color. if the next two cards i draw both have that color, you win. otherwise, you lose. what is the optimal strategy?

Find the area of a trapezoid with a height of 23, base 1 of 10 and base 2 of 18

Given the equation f(x)=a(b)x where the initial value is 40 and the growth rate is 20% what is f(4)

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.