Problem 2 (4 points) The Better Business Bureau conducts a survey of 30 people who recently hired an attorney. 17 of them say that they would
recommend their attorney to a friend. 8 say that they would not recommend
their attorney to a friend. And the remaining 5 say that they are not sure.
Three people are selected from this group of 30 people at random (This means
drawing every person with equal probability, but without replacement - the
same person cannot get drawn twice).
What is the probability that
a) All three would recommend their attorney to a friend?
b) The first would not, but the second and third would recommend their
attorney to a friend?

The probability that a college student belongs to a health club is 0.3. the probability that a college student lives off-campus is 0.4. the probability that a college student belongs to a health club and lives off-campus is 0.12. find the probability that a college student belongs to a health club or lives off-campus. tip: p(a or b) = p(a) + p(b) - p(a and b) 0.54 0.58 0.70 0.82

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.

In δabc, m∠acb = 90°, cd ⊥ ab and m∠acd = 45°. find: a find cd, if bc = 3 in