Short Answer 
The probability of selecting a green grape and a seedless tangerine is determined by calculating the individual probabilities for each fruit and then combining them. Specifically, the probability of choosing a green grape is 9/25, the probability of selecting a seedless tangerine is 3/10, resulting in a combined probability of 27/250.
Step 1: Understanding Probability
Probability is the likelihood or chance that a specific event will happen. It can be calculated using the formula: Probability = Expected Outcomes / Total Outcomes. In this case, we are interested in the probability of selecting a green grape and a seedless tangerine from their respective bowls.
Step 2: Determine the Individual Probabilities
To calculate the overall probability, first, find the probability of selecting each item separately. This involves:
- Calculating the total grapes: 9 green and 16 red, making a total of 25.
- Finding the probability of selecting a green grape: Pr(grape) = 9/25.
- Calculating the total tangerines: 7 seeded and 3 seedless, making a total of 10.
- Finding the probability of selecting a seedless tangerine: Pr(seedless tangerine) = 3/10.
Step 3: Calculate the Combined Probability
To find the combined probability of these independent events, multiply the individual probabilities together:
- Pr(a green grape and a seedless tangerine) = Pr(grape) * Pr(seedless tangerine).
- This equals (9/25) * (3/10) = 27/250.
- Thus, the final result tells us that the probability of choosing a green grape and a seedless tangerine is 27/250.