A large group of 110 people sit down at a function to a twocourse meal. Each course has two opons: guests can choose to have either Main A or Main B, and they can choose to have either Dessert A or Dessert B. After the function, the chef notes that 33 chose Main A, Iwhile the remaining F\"? chose Main B. And of the people that chose main A, 14 chose Dessert A and 19 chose Dessert B. of the people that chose Main B, 24 chose Dessert A and 53 chose Dessert B. a) A tree diagram describing this situation has been drawn up, and some probabilities have been lled in. Complete the tree diagram for this scenario by lling in the appropriate probability for each part of the tree. Give your answers as decimals to 2 decimal places Dessert A E Main A 0.30 Dessert B Dessert A Main B 0.?0 Dessert B E b) Find the probability that a random person from this group selects Main A and Dessert B. Give your answer as a decimal to 2 decimal places. MMain A and Demert B) = \\:| c) FInd the probability that a random person from this group selects Dessert B given that they selected Main A. [ve your answer as a decimal to 2 decimal places. PfDessert BlMain A) = E