Question

A gardener has ten plants (four tomato, two pepper, and four cucumber) to put in her garden. If she chooses the plants at random, what is the probability that the first one is a tomato plant, and the second one is a cucumber plant?

Answer 1

Also, the answer is 17.78%

Answer 2

8/45

Explanation:

Given that:

Total Number of plants = 10

Number of tomato = 4

Number of pepper = 2

Number of cucumber = 4

If two plants are chosen at random:

Assume it is picked without replacement :

P(first is tomato plant) :

Recall : probability (p) = required outcome / Total possible outcomes

P(first is tomato plant) = 4 / 10 = 2/5

P(second is a cucumber plant) :

Number of plants = (10 - 1) =9 after first pick

P(second is a cucumber plant) = 4 / 9

Hence,

P(first tomato and second cucumber) = 2/5 * 4/9 (independent events)

2/5 * 4/9 = 8/45