Ex 7.4, 1

Transcript

Ex 7.4, 1 (i) There are two fruit baskets A and B. Basket A has one apple and two oranges. Basket B has one banana and one mango. You randomly pick one fruit from each basket. (i) Draw a tree diagram showing all possible pairs of fruits. Since we pick fruits from basket one after another Let’s start with Basket A, and then B Note: Because there are 2 oranges and 1 apple, Probability of getting apple = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑎𝑝𝑝𝑙𝑒𝑠)/(𝑇𝑜𝑡𝑎𝑙 𝑓𝑟𝑢𝑖𝑡𝑠) = 𝟏/𝟑 And, Probability of getting orange = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑜𝑟𝑎𝑛𝑔𝑒)/(𝑇𝑜𝑡𝑎𝑙 𝑓𝑟𝑢𝑖𝑡𝑠) = 𝟐/𝟑 Ex 7.4, 1 (ii) There are two fruit baskets A and B. Basket A has one apple and two oranges. Basket B has one banana and one mango. You randomly pick one fruit from each basket. (ii) List the sample space. Our Sample Space is S = { (Apple, Banana), (Apple, Mango), (Orange, Banana), (Orange Mango)} Ex 7.4, 1 (iii) There are two fruit baskets A and B. Basket A has one apple and two oranges. Basket B has one banana and one mango. You randomly pick one fruit from each basket. (iii) What is the probability of picking one apple and one banana? We use our Tree Diagram We trace the path for Apple ⟶ Banana and multiply the probabilities on those branches: 𝟏/𝟑 ×𝟏/𝟐=𝟏/𝟔