3. The odds that your best friend will \"like\" your latest TikTok post is 2:9. a. Describe this ratio. What do you conclude: Should you be happy f3 or disappointed with your friend?I Justify your answer. b. Determine the probability that your best friend will \"like" your next post? Round your answer to the nearest percent. 2' l c. Determine the probability that your best friend will not \"like\" your next post? Round your answer to the nearest percent. fl d. Next, I want you to investigate one of your own social media profiles. (Twitter, Instagram, Facebook, TikTok, etc}. Review your last 10 posts. After looking at the \"likes\" portion of each post please determine: i. The odds that a certain individual will \"like\" your f2 next post? [This individual can be anyone: best friend, sibling, relative, etc. Chose DNLY ONE}. Justify your answer. ii. The odds that the same individual will not like #2 your next post? Justify your answer. 4. The Universal Set, U, consists of the natural numbers from 20 to 60 inclusive a. Dene 3 different sets of your choosing. f 1 [Ext even numbers, prime numbers, multiples of 3, factors of 40, perfect squares, multiples of 2, factors of 5, etc.) Let Set A = Let Set B = Let Set C = b. List the elements in each of your sets: .8 A = t l B = l } C = t } c. Determine the probability of each of the following: 14 i. P(C) ii. P(A UB) ili. P(An B nC) iv. P(B\\C) v. P((A\\ B) nc) 5. On any given Saturday Ron may go for a bike ride along the beach. If it is sunny outside, there is a 0.82 probability that he will go for a bike. If it is not sunny, the probability that Ron goes for a bike is 0.41. Next Saturday, the weather channel predicts a probability of 0.74 that it will be sunny. Given that Ron goes for a bike next Saturday, what is the probability that /3 it was sunny outside? Illustrate this problem with a diagram and evaluate your answer to the nearest hundredth