What are the odds against choosing a green or red marble from a bag that contains two blue marbles, one green marble, seven white marbles, and four red marbles?
Question
What are the odds against choosing a green or red marble from a bag that contains two blue marbles, one green marble, seven white marbles, and four red marbles?
Solution
Sure, let's break it down step by step:
-
Determine the total number of marbles:
- Blue marbles: 2
- Green marbles: 1
- White marbles: 7
- Red marbles: 4
Total number of marbles = 2 + 1 + 7 + 4 = 14
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Determine the number of favorable outcomes (choosing a green or red marble):
- Green marbles: 1
- Red marbles: 4
Total favorable outcomes = 1 + 4 = 5
-
Determine the number of unfavorable outcomes (not choosing a green or red marble):
- Total marbles: 14
- Favorable outcomes: 5
Unfavorable outcomes = Total marbles - Favorable outcomes = 14 - 5 = 9
-
Calculate the odds against choosing a green or red marble:
- Odds against = Number of unfavorable outcomes : Number of favorable outcomes = 9 : 5
So, the odds against choosing a green or red marble are 9:5.
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