Of all the yoga students in a particular area, 20% study with patrick and 80% study with carl. we also know that 8% of the yoga students study with patrick and are female, while 66% of the students study with carl and are female. what is the probability that a randomly selected yoga student is female, given that the person studies yoga with carl? a: .35 b: .56 c: .69 d: .83

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.