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. (ii) List the sample space. (iii) What is the probability of picking one apple and one banana?
Basket A contains:
1 Apple and 2 Oranges
Basket B contains:
1 Banana and 1 Mango
The tree diagram shows:
Basket A → Apple or Orange
Then from each branch:
Basket B → Banana or Mango
The four possible fruit-type pairs are:
(Apple, Banana), (Apple, Mango), (Orange, Banana), (Orange, Mango)
S = {(Apple, Banana), (Apple, Mango), (Orange, Banana), (Orange, Mango)}
These represent the possible pairs of fruit types.
The favourable outcome is:
(Apple, Banana)
Using the branch probabilities,
is the probability of picking one apple and one banana.