Math Problem Statement
Express the indicated degree of likelihood as a probability value between 0 and 1. Use only decimals.
In one of New York State’s instant lottery games, the chances of a win are stated as “4 in 21.”
The probability is approximately
Solution
To express the indicated degree of likelihood as a probability value between 0 and 1, we can interpret "4 in 21" as a ratio of the number of favorable outcomes to the total number of outcomes.
The probability can be calculated as:
Now, calculate the decimal value:
So, the probability is approximately 0.1905.
Would you like any details on this calculation or have any questions?
Here are 5 related questions to expand on this concept:
- How would the probability change if the chances were "6 in 21" instead of "4 in 21"?
- What is the probability of not winning in this lottery game?
- If the chances were "4 in 25," what would the probability be?
- How would you express a probability of 0.25 as a "X in Y" ratio?
- What is the probability of winning at least once if you play the lottery game 3 times?
Tip: When calculating probabilities, always ensure that the total number of outcomes includes all possible scenarios, including both favorable and unfavorable outcomes.
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Math Problem Analysis
Mathematical Concepts
Probability
Formulas
Probability formula: P = Number of favorable outcomes / Total number of outcomes
Theorems
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Suitable Grade Level
Grades 9-12