There are 33 Chocolates in a box, all identically shaped. There are 13 filled with nuts, 8 with caramel, and 12 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability of selecting a solid chocolate candy followed by a nut candy. - A club elects a President, Vice-President and Secretary-Treasurer. How many sets of officers are possible if there are 11 members and any member can be elected to each position? No person can hold more than one office. - A single die is rolled twice. The set of 36 equally likely outcomes is {( 1, 1), (1, 2), (1, 3), (1, 5), (1, 6), (2, 1), (2, 2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (5,1), (5,2), (5,3), (5,4), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}. Find the probability of getting two number whose sum is less than 13. - At a particular point in time, the stock market took big swings up and down. A survey of 982 adult investors asked how often they tracked their portfolio. The table shows the investor responses. What is the probability that an adult investor tracks his or her portfolio daily? Express your answer as a simplified fraction and as a decimal rounded to three decimal places. How Frequently? | Response Daily | 220 Weekly | 274 Monthly | 284 Couple of times a year | 146 Don't Track | 58 - Consider the discrete probability distribution given when answering the following question. Find the probability that x equals 4. x | 2 4 6 9 P(x) | 0.19 ? 0.22 0.25 - Find the area under the standard normal curve to the left of Z = 1.25. - From 8 Names on a ballot, a committee of 3 will be elected to attend a political national convention. How many different committees are possible? - How many different four-letter secret codes can be formed if the first letter must be an S or a T? - In a recent survey, 67% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find the probability that exactly 10 of them favor the building of the health center