Question

A large group of 100 people sit down at a function to a two-course meal. Each course has two options: 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 30 chose Main A, while the remaining 70 chose Main B.

And of the people that chose main A, 9 chose Dessert A and 21 chose Dessert B. Of the people that chose Main B, 24 chose Dessert A and 46 chose Dessert B.

a)A tree diagram describing this situation has been drawn up, and some probabilities have been filled in.

A large group of 100 people sit down at a function to a two-course meal. Each course has two options: 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 30 chose Main A, while the remaining 70 chose Main B. And of the people that chose main A, 9 chose Dessert A and 21 chose Dessert B. Of the people that chose Main B, 24 chose Dessert A and 46 chose Dessert B. a) A tree diagram describing this situation has been drawn up, and some probabilities have been filled in. Complete the tree diagram for this scenario by filling in the appropriate probability for each part of the tree. Give your answers as decimals to 2 decimal places. Dessert A Main A 0.30 Dessert B Dessert A Main B 0.70 Dessert B b) Find the probability that a random person from this group selects Main B and Dessert A. Give your answer as a decimal to 2 decimal places. P(Main B and Dessert A) = c) Find the probability that a random person from this group selects Dessert A given that they selected Main B. Give your answer as a decimal to 2 decimal places. P(Dessert Al Main B) =

Complete the tree diagram for this scenario by filling in the appropriate probability for each part of the tree. Give your answers as decimals to 2 decimal places.

Answer 1

solution: Pl Desert ) : Pl Desert B) 2 'Maina 30 I Main A) 2 130 24 pl Desert A): 24 ; ; 70 P (Desert B): 46 Main B -70 Mainst Desert 0.09 MainA - 0.30 Desert B L0.21 | Desert A 10.29 | Main B 0.70 Dese of B ! (-) b (1-2)

o pr Main B and Desert A) = 0.24) o pl Desert A . Main B). = P (Desert A. Marmis) Pi Main B) = 0.24 = [0.34] 0.70