Question 1:
\fJordan buys a bag of cookies that contains 8 chocolate chip cookies, 9 peanut butter cookies, 8 sugar cookies, and I" oatmeal cookies. What is the |::rI:r|:-a|::nilit13..r that Jordan reaches in the bag and ranliorrllyr selects a sugar cookie from the bag, eats it, then reaches hack in the bag and ranlioml'yr selects a peanut butter cookie? Round your answer to four decimal places. Acombination lock uses 3 numbers, each of which can be D to 2?. If there are no restrictions on the numbers, how ma n1; possible combinations are available? A b-G'ly' owns 1 pairs of pants: T shirts, 1 ties, and B jackets. How many different outfits can he wear to school if he must wear one of each item? He can wear different outfits. A pianist plans to play.r 3 pieces at a recital from her repertoire of ED pieces, and is carefull'_l..lr considering which song to playr first, second, etc. to create a good flow. How many different recital proglams are possible? \fAstudent needs 1D more classes to graduate. If she has met the prerequisites for all the classes, haw manyr possible schedules for next semester could she make if she plans to take 5 classes? How many different ways can a race with 4 runners be completed? {Assume there is no tie.) How many different 5 card hands can be dealt from a deck of 52 cards? \fAoompany has 8 male and 1D female employees, and needs to nominate 2 men and 1 women for the company bowling team. How many different teams can be formed?r :l Ajar contains 3 red marbles, numbered 1 to 3, and 11 blue marbles numbered 1 to 11. a] A marble is chosen at random. If you're told the marble is blue, what is the |::Irobabilit1|.|r that it has the number 2 on it? I:] b] The first marble is replaced, and another marble is chosen at random. If you're told the marble has the number 6 on it, what is the probability the marble is blue? D Suppose a math class contains 41 students, 20 females {four of whom speak French} and 21 males {four of whom speak French}. Compute the probability that a rand-2mm;r selected student speaks French, given that the student is male. C] A poll was taken of 11,313 working adults aged till-TU to determine their level of education. The participants were classified by sex and by level of education. The results are shown below. mm- -m \"um A person is selected at random. Compute the following probabilities. {a} What is the probability that the selected person is male, given that he has a Master's degree? D {b} What is the probabilityr that the selected person does not have a Master's degree, given that he is male? D {c} What is the probability that the selected person is female, given that the person has a Bachelor's [ ' El. :1: I'm '1 /| m n: n4 {d} What is the probabilityr that the selected person has a Ph.D., given that she is female? D Suppose a math class contains 4E} students, 16 females {two of whom speak French] and 24 males [five of whom speak French}. Compute the probability that a randomlyr selected student is female, given that the student speaks French. Cl A basket at a babyr shower contains 12 bottles of pink nail polish numbered 1 through 12, and 5 bottles of red nail polish numbered 1 through 5. One bottle is drawn from the basket at random. A = the polish drawn is pink B = the polish drawn is evennumbered Find P{A | B}. 12H? f ENE 5:12 Suppose your top drawer contains different colored socks: 14 are white, 3 are black, it: are pink, and 1B are blue. All socks in the drawer are loose {unpaired}. in the morning, you randomly select two socks, one at a time. Calculate the following probabilities, writing your answer either as a decimal or a fraction. {a} What is the probability that you get a blue pair of socks? D {b} What is the probability that you do not get a blue pair of socks? D {c} What is the probability that you get either a white pair or a blue pair of socks? D {d} What is the probability that you get one black sock and one white sock? B A jar contains 10' red marbles numbered 1 to 1D and 3 blue marbles numbered 1 to B. A marble is drawn at ran-dam from the jar. Fin-2| the |:IrI[:-babill't1..|r of the given event. la] The marble is red Your answer is : {b} The marble is odd-numbered Your answer is : {e} The marble is red or oddnumbered {d} The marble is blue and even-numbered
