Answer should be typed format only without insert table and image.copied content strictly prohibited remember

CHAPTER 2. PROBABILITY 51. A group of six friends consists of three first-year students and three sopho- mores. Each student decides to either major in math or not based on social media likes, For this experiment, we will count how many of each type of student decides to major in math. (a) Write a sample space for this experiment, You can use ordered pairs for example, the pair (2, 1) can represent that two first-year students and one sophomore decide to major in math. (b) Write all of the outcomes in the event "more sophomores than first-year students decide to major in math.&quot