A gardener wanted to plant vegetables in his garden. Hence he bought 10 seeds of brinjal plant, 12 seeds of cabbage plant and 8 seeds of radish…

A gardener wanted to plant vegetables in his garden. Hence he bought $\displaystyle 10$ seeds of brinjal plant, $\displaystyle 12$ seeds of cabbage plant and $\displaystyle 8$ seeds of radish plant. The shopkeeper assured him of germination probabilities of brinjal, cabbage and radish to be $\displaystyle 25 \%, 35 \%$ and $\displaystyle 40 \%$ respectively. But before he could plant the seeds, they got mixed up in the bag and he had to sow them randomly.

Radish Cabbage Brinjal Based upon the above information, answer the following questions :

Calculate the probability of a randomly chosen seed to germinate.

What is the probability that it is a cabbage seed, given that the chosen seed germinates? Case Study - $\displaystyle 2$