A biased coin, twice as likely to come up as tails, is tossed once.  If it shows heads a chip is drawn from an urn I which contains 3 white chips and 4 red chips; if it shows tails a chip is drawn form urn II, which contains 6 white chips and 3 red chips.  Given that a white chip is drawn, what is the probability that the coin came up tails. a)7/16.    b) 7/9.     c)32/63

2 Lily had to roll a fair, six-sided cube to determine how many times she would be able to move during a game. Then, she had to spin a spinner that was divided into four equal, colored pieces-orange, purple, blue, and green. If she landed on the same cobr as she spun, she got to move two extra spaces. What is the probability that Lily will roll a number greater than I and have the spinner land on purple? Samuel went to a sandwich shop and chose to build his own. He had an option of ordering turkey, ham, chicken salad, or roast beef on white or wheat bread. He also had the option of adding lettuce, pickles, or tomatoes on his sandwich. What is the probability that Samuel will order a sandwich with turkey and pickles?

Two balanced dice are thrown, one red and one black. What is the probability that the red die comes up 1, given that the a. black die comes up 3? b. sum of the dice is 4? c. sum of the dice is 9?

I get to draw two buttons from a bag with 3 Cardinal and 6 Gold buttons (without replacement, order does not matter).What is the probability that I get one of each color?  a. 1/2 b. 5/9 c. 4/9 d. 1/3 e. None of the other answers is correct.