A golf ball is selected at random from a gold bag. If the golf bag contains 4 red balls, 6 green balls, and 11 brown balls, find the probability of the following event. The golf ball is red or green.
Accepted Solution
A:
ANSWER:
10/21
EXPLANATION:
In this case, the favorable outcomes are selecting a red or green ball, and the total number of possible outcomes is the total number of balls in the bag.
Number of red balls = 4
Number of green balls = 6
Now, add the number of red and green balls to find the total number of favorable outcomes:
Number of favorable outcomes = Number of red balls + Number of green balls
Number of favorable outcomes = 4 + 6 = 10
The total number of balls in the bag is the sum of red, green, and brown balls:
Total number of possible outcomes = Number of red balls + Number of green balls + Number of brown balls
Total number of possible outcomes = 4 + 6 + 11 = 21
Now, you can calculate the probability:
Probability (selecting a red or green ball) = Number of favorable outcomes / Total number of possible outcomes
Probability (selecting a red or green ball) = 10 / 21
So, the probability of selecting a red or green golf ball from the bag is 10/21.