What are the odds of choosing a blue marble from a bag that contains two blue marbles, one green marble and four red marbles?
Question
What are the odds of choosing a blue marble from a bag that contains two blue marbles, one green marble and four red marbles?
Solution
To determine the odds of choosing a blue marble from the bag, follow these steps:
-
Count the total number of marbles in the bag:
- Blue marbles: 2
- Green marbles: 1
- Red marbles: 4
Total marbles = 2 (blue) + 1 (green) + 4 (red) = 7 marbles
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Identify the number of favorable outcomes:
- Favorable outcomes (choosing a blue marble) = 2
-
Calculate the probability of choosing a blue marble:
- Probability = (Number of favorable outcomes) / (Total number of outcomes)
- Probability = 2 / 7
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Convert the probability to odds:
- Odds in favor of an event = (Number of favorable outcomes) : (Number of unfavorable outcomes)
- Unfavorable outcomes = Total marbles - Favorable outcomes = 7 - 2 = 5
- Odds = 2 : 5
Therefore, the odds of choosing a blue marble from the bag are 2:5.
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