Question

blue: 97
green: 84
red: 43
yellow: 26

What is the probability of randomly choosing a student whose favorite color is green? Write your answer as a fraction in the simplest form.
(1 point)

Answers

GPT 3.5
The probability of randomly choosing a student whose favorite color is green is 84/250.
blue: 97
green: 84
red: 43
yellow: 26

What is the probability of randomly choosing a student whose favorite color is green? Write your answer as a fraction in the simplest form.
(1 point)
GPT 3.5
The total number of students is 97 + 84 + 43 + 26 = 250.

The probability of randomly choosing a student whose favorite color is green is 84 (number of students who like green) / 250 (total number of students) = 84/250 = 42/125.

So, the probability in simplest form is 42/125.
Lana has a bag of 15 marbles. There are 2 black marbles, 5 blue, 3 red, 3 green, and 2 purple. What is the probability that she randomly chooses a blue marble, replaces it, and then chooses a purple marble? Write your answer as a fraction in the simplest form. (1 point)
GPT 3.5
The probability of choosing a blue marble is 5/15 because there are 5 blue marbles out of a total of 15 marbles.

After replacing the blue marble, the probability of choosing a purple marble is 2/15 because there are 2 purple marbles out of a total of 15 marbles.

Since the marbles are replaced each time, the probabilities are multiplied together:

(5/15) * (2/15) = 10/225 = 2/45

Therefore, the probability that Lana randomly chooses a blue marble and then a purple marble is 2/45.