scene 3 "I me i. paxlu my\" I > . 5'\" Test (TS): Ap , Geom airy 8 Points pass/blag;n 2 957'50Vhtm er rolls two dice at me same ubles. In the game, a play rolling doubles lthe same TAB LES AND PROBABILITIES 1- Annie and he " friends are playing a dlce game called Do xlra polnls are scored lor time The c ' utcome 0 number on both (1|ch eaCh r0" Is the sum of the two dice. E osslble outcomes for each roll in lhe Part A- Use ' the mulll r game, (1 p oh\") 9 'cat'on prlnclple lo nd me total number of p n. Show your work. Express each probabilily as a lractlon - Part C: Use Parts A and B to answer each questio in simplest form. (10 polnts) a. What is the probability of rolling double sixes? frolling doubles? b. What is the probability 0 \fobability when Annie randomly chooses one member ' 2 l'hs/ . o, rt 3; Use the Venn diagram in Part A to nd each pr 5 Club. Express each probability as a fraction in simplest terms. (9 points) 0 \")fo \\gs'h 0,] 9,0 658/ an, s) \\2 a. Annie chooses a girl who is a junior. ne 14'; b. Annie does not-choose a girl who is a junior. 51/2 M\\':7 junior. Use the formula PU-l u B) = P(A)+ P(B) P(An B) . 0. Annie chooses a gin or a "e . ab . 3 Annie ordered cotton T-shirts for the Doubles Club. The tree diagram below shows the colorand sizes of all y \"710,76 free I '5' a r 0 the shirts she ordered. '9 \"Ii/ell Us: [1.53% 9 U - men's,\" plug/:78" . dd/'e a 0079 Rs cases a red shirt at random, w the shirt will be large? Use the formula P(A| B) - Pig(BE Express your answer a nearest tenth. Part A: Given that Annie ch 5 a percent rounded to the (4 polnts) Part B: What Is the probablllty th at a randomly chosen red shirt wlll be small? Use th e formula mm B) . M Ex P (B) . press your answer as a percent rounded to th e nearest tenth (4 . points) ave already learned that the i - ' 4. Suppose there is a card game where you are dealt a hand of three cards. You h tcan be dealt from a deck of 52 cards is: total number of three-card hands tha 521 C =__ \" 3 49B! 5203 =221UU and that has exactly two aces in it (A A X). You will of getting a h and then dividing by the total In this problem you will calculate the probability ds that have exactly two aces. do this by nding out the number of possible han possible number of threeacard hands that is stated above. Part A: Use the multiplication principle to tell he made with two aces. (2 points) the total number of three-card hands (permutations) that can For example. Av A e X got counted and got counted twlce. rd hand, these are really the same m Part I. each two-ace h Part B: In the answer fro as a separate hand from A4- Av X. Since order should not matter in a ca hand. What is the actual number of two-ace hands (combinations) you can get from a deck of 52 cards? (2 points) J E it; \\ Part c: Find the probability of drawlng a three'card hand that includes two aces from a deck of 52 cards. \\ 2-, N' \\ write your aneweras a fraction; (Z'plnh) \f\f