Question

4.2 theoretical probability. calculating theoretical probabilities (other). an experiment is pulling a ball from an urn that contains 4 blue balls and 8 red balls. a) find the probability of getting a blue ball. leave your answer as a fraction. b) find the probability of getting a red ball. leave your answer as a fraction. question help: video 1 video 2 message instructor submit question

Explanation:

Step1: Calculate total number of balls

The total number of balls is the sum of blue and red balls. So, $4 + 8=12$.

Step2: Calculate probability of getting a blue ball

The probability $P$ of an event is the number of favorable outcomes divided by the total number of outcomes. For getting a blue ball, the number of favorable outcomes is 4 (number of blue balls), and total outcomes is 12. So, $P(\text{blue})=\frac{4}{12}=\frac{1}{3}$.

Step3: Calculate probability of getting a red ball

For getting a red ball, the number of favorable outcomes is 8 (number of red balls), and total outcomes is 12. So, $P(\text{red})=\frac{8}{12}=\frac{2}{3}$.

Answer:

a) $\frac{1}{3}$
b) $\frac{2}{3}$