Marion and Shi'eeya are arguing over which course they should take in Fall 2022. Marion's argument is that they should take US-T NLP because Professor Roozbahani will teach it. Shreeya's argument is that they should take {IST541 ML because it would be difcult to take NLP without having introductory knowledge of Machine Learning. To resolve this conictE their other friend Nicole makes a proposition that they should leave it to chance to decide which course they should take. Marion then proposes that Shreeya will toss a Iiisided die ti times, and Shreeya must get anything except 3 during the rst 5 times and must get 3 during the tith time. Any other combination will make Marion the winner. But Shreeya is also allowed to tamper with the die in any manner she likes to increase her odds. Now, Shreeya needs you to help her have her way. If the probability of getting a 3 is f." and the probability of landing on 1 is double of that of landing on 2, 4, 5, and ti, what value of H is most likely to ensure that they will have to take LES7641 ML?r Use your expertise of Maximum Likelihood Estimation and probabiiity distribution function to convince Shreeya. NOTE: You must specify the log-likelihood function and use MLE to solve this problem for full credit. 1rbu may assume that the log-likelihood function is concave for this