What is the probability of choosing a red or blue gum ball from a bag that contains 14 red, nine blue, and 12 green gumballs.
well, it's the same as the probability of NOT choosing a green ball.
To find the probability of choosing a red or blue gum ball from the bag, we need to determine the total number of favorable outcomes (red or blue gum balls) and divide it by the total number of possible outcomes (all gum balls).
Step 1: Calculate the total number of favorable outcomes (red or blue gum balls):
- The number of red gum balls is 14.
- The number of blue gum balls is 9.
So, the total number of favorable outcomes is 14 + 9 = 23.
Step 2: Calculate the total number of possible outcomes (all gum balls):
- The number of red gum balls is 14.
- The number of blue gum balls is 9.
- The number of green gum balls is 12.
So, the total number of possible outcomes is 14 + 9 + 12 = 35.
Step 3: Calculate the probability by dividing the total number of favorable outcomes by the total number of possible outcomes:
- Probability = Number of favorable outcomes ÷ Number of possible outcomes
- Probability = 23 ÷ 35
Therefore, the probability of choosing a red or blue gum ball from the bag is 23/35 or approximately 0.657 (rounded to three decimal places).