CASE STUDY CHALLENGE

Probability: The Gardener’s Seed Mix-Up

A gardener wanted to plant vegetables in his garden. He bought 10 seeds of brinjal, 12 seeds of cabbage, and 8 seeds of radish. The shopkeeper assured him of germination probabilities of brinjal, cabbage, and radish to be 25%, 35%, and 40% respectively.

Radish, Cabbage, and Brinjal Seeds

Before he could plant the seeds, they got mixed up in the bag, and he had to sow them randomly.

Answer the following questions based on the information above:

(i) Calculate the probability of a randomly chosen seed to germinate. [2]
(ii) What is the probability that it is a cabbage seed, given that the chosen seed germinates? [2]