1. Denisha, Brianna, lanel and Alana have all volunteered for their sorority's 2 person activity committee. Their names are written on index cards, the index cards mixed up in a shoe box, and two index cards are drawn at random from the box. a. Construct the sample space for this probability experiment 5 = b. Define the event E = "Denisha will be chosen\". Find the probability that Denisha will be chosen for the committee? Interpret this probability. E = PIE) = Interpretation: c. Define the event F = "Denisha and lanel will be chosen". Find the probability that Denisha and Jane] will be chosen for the committee. Interpret this probability. d. Define the event G = "Denisha but not Ianel will be chosen". Find the probability that Denisha but not Ianel will be chosen for the committee. Interpret this probability. The table below reects the employment status and gender of members of United States civilian labor force ages 16 to 19 [in thousands] Male Female | Employed 2323 2509 | Unem 10 ed 898 654 Not Seeking Employment 5416 5237 What is the probability that a randomly selected 16-19 year-old from the civilian labor force is employed? What is the probability that a randomly selected 16-19 year-old from the civilian labor force is male? What is the probability that a randomly selected 16-19 year-old from the civilian labor force is employed and male? What is the probability that a randomly selected 16-19 year-old from the civilian labor force is employed or male? If two 16-19 year-olds are randomly chosen from the civilian labor force, what are the chances that both are employed? [in other words, the 1st is employed and the 2*"1 is employed)