Question

a probability experiment is conducted in which the sample space of the experiment is s = {7,8,9,10,11,12,13,14,15,16,17,18}. let event e = {8,9,10,11,12,13} and event f = {12,13,14,15}. list the outcomes in e and f. are e and f mutually exclusive? list the outcomes in e and f. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. (use a comma to separate answers as needed.) b. {}

Explanation:

Step1: Identify common outcomes

We need to find the intersection of E = {8,9,10,11,12,13} and F = {12,13,14,15}.

Step2: Determine common elements

The common elements of E and F are 12 and 13.

Step3: Check mutual - exclusivity

Two events are mutually exclusive if their intersection is an empty set. Since E ∩ F = {12,13} ≠ ∅, they are not mutually exclusive.

Answer:

A. 12,13; No, E and F are not mutually exclusive.