Question

4.2 theoretical probability. calculating theoretical probabilities (other). an experiment is pulling a ball from an urn that contains 8 blue balls and 6 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

$8 + 6=14$

Step2: Calculate probability of blue ball

The probability $P$ of an event is $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. For getting a blue ball, number of favorable outcomes is 8 and total number of outcomes is 14. So $P(\text{blue})=\frac{8}{14}=\frac{4}{7}$

Step3: Calculate probability of red ball

For getting a red ball, number of favorable outcomes is 6 and total number of outcomes is 14. So $P(\text{red})=\frac{6}{14}=\frac{3}{7}$

Answer:

a) $\frac{4}{7}$
b) $\frac{3}{7}$