Consider the following. HINT [See Examples 13.] You are considering purchasing either a domestic car, an imported car, a van, an antique car, or an antique truck; you do not buy a car. Which of the following sets of elements are included in the sample space? [Select all that apply.) _ antique truck : imported car : domestic car : imported truck domestic truck [ l van : antique car List the elements of the given event. (Select all that apply.) _ antique truck : antique car I ] domestic truck van imported truck imported car [ 1 domestic car A packet of gummy candy contains two strawberry gums, four lime gums, four black currant gums, and two orange gums. April May sticks her hand in and selects six at random. Complete the following sentences. _ ummy candies chosen from the packet of \\:|. Enter an exact number. (b) April is particularly fond of combinations of two strawberry and four black currant gums. The event that April will get the combination she desires is the set of all sets of \\:| gummy candies in which l---SelecI--- Vl and lSeleclm Vl . (a) The sample space is the set of all sets of President Barack H. Obama's cabinet consisted of the Secretaries of Agriculture, Commerce, Defense, Education, Energy, Health and Human Services, Homeland Security, Housing and Urban Development, Interior, Labor, State, Transportation, Treasury, Veterans Affairs, and the Attorney General.t Assuming that President Obama had 23 candidates, including Hillary Clinton, to fill these posts (and wished to assign no one to more than one post), complete the following sentences. (a) The sample space is the set of all lists of: people chosen from E . (b) The event that Hillary Clinton is the Secretary of State is the set of all lists of 1.5 people chosen from E , in which Hillary Clinton occupies the (Secretary of State) position. Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die shows 6; B: the numbers add to 9; C: at least one of the numbers is 6; and D: the numbers do not add to 11. Express the given event in symbolic form. HINT [See Example 5.] The red die shows 6 and the numbers add to 9. O A' n B O A u B O A' H B' O A n B O A u B' How many elements does it contain? : Consider the following. HINT [See Examples 1-3.] A sequence of two different digits is randomly chosen from the digits 0-4; the first digit is larger than the second. Describe the sample space S of the experiment. (Select all that apply.) _ 30 31 32 34 42 43 44 45 [ | 20 21 23 24 01 02 04 05 11 22 33 44 10 12 13 14 [ | 01 02 03 D4 40 41 42 43 21 22 23 25 List the elements of the given event. (Select all that apply.) : 23 24 : 20 21 : 21 : 10 30 32 34 43 [ | 12 30 31 32 40 41 42 43