(Question from the class forum) A grocery store has 3 red apples, 2 green mangos, 6 green apples, 3 red mangos. Find the probability of randomly selecting a fruit that is red or is a mango. SHOW WORK and round your answer to three decimal places, or as a percent with 1-digit past the decimal.
(Question from the class forum) A grocery store has 3 red apples, 2 green mangos, 6 green apples, 3 red mangos. Find the probability of randomly selecting a fruit that is red or is a mango. SHOW WORK and round your answer to three decimal places, or as a percent with 1-digit past the decimal.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Question from the class forum:** A grocery store has 3 red apples, 2 green mangos, 6 green apples, and 3 red mangos. Find the probability of randomly selecting a fruit that is red or is a mango. **SHOW WORK** and round your answer to three decimal places, or as a percent with 1 digit past the decimal.
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### Explanation and Solution
**Step 1**: List the fruits and their quantities:
- Red apples: 3
- Green mangos: 2
- Green apples: 6
- Red mangos: 3
**Step 2**: Identify the total number of fruits.
Total fruits = 3 (red apples) + 2 (green mangos) + 6 (green apples) + 3 (red mangos) = 14
**Step 3**: Identify the fruits that are either red or a mango.
- Red apples: 3
- Red mangos: 3
- Green mangos: 2
**Step 4**: Calculate the total number of favorable outcomes (fruits that are red or are mangos):
Favorable outcomes = 3 (red apples) + 3 (red mangos) + 2 (green mangos) = 8
**Step 5**: Calculate the probability.
Probability = (Number of favorable outcomes) / (Total number of fruits)
Probability = 8 / 14 ≈ 0.571
**Step 6**: Convert the probability into a percentage.
Percentage = 0.571 × 100 ≈ 57.1%
Thus, the probability of selecting a fruit that is red or is a mango is approximately 0.571 or 57.1%.
Expert Solution
Step 1
3 - red apples
2 - green mangos
6 - green apples
3 - red mangos
____________________
14 total fruits
select one at random
p(red or mango) = ?
Step by step
Solved in 2 steps
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