There are two fruit baskets A and B. Basket A has one apple and two oranges. Basket B Class 9

Question 1.

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. Class 9

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?

Solution:

i. Basket A: {Apple, Orange, Orange}

Basket B: {Banana, Mango}

ii. Sample space S = {(Apple, Banana), (Apple, Mango), (Orange, Banana), (Orange, Mango), (Orange, Banana), (Orange, Mango)}

iii. Favourable outcome {Apple, Banana}

Number of favourable outcomes = 1

Total number of outcomes = 6

P(Apple and Banana)

$\begin{aligned} & =\frac{\text { Number of favourable outcomes }}{\text { Total number of outcomes }} \\ & =\frac{1}{6}\end{aligned}$