Math Problem Statement
Damian has a bag that contains pineapple chews, lemon chews, and watermelon chews. He performs an experiment. Damian randomly removes a chew from the bag, records the result, and returns the chew to the bag. Damian performs the experiment 68 times. The results are shown below:
A pineapple chew was selected 39 times.
A lemon chew was selected 24 times.
A watermelon chew was selected 5 times.
Based on these results, express the probability that the next chew Damian removes from the bag will be lemon chew as a decimal to the nearest hundredth
Solution
To determine the probability that the next chew Damian removes will be a lemon chew, we use the formula for probability:
Given:
- Lemon chews selected = 24
- Total trials = 68
Now, we calculate the decimal value:
Rounding to the nearest hundredth:
Final Answer:
0.35
Would you like a breakdown of rounding rules or further clarification?
Here are 5 related questions to explore:
- What is the probability of selecting a pineapple chew?
- What is the probability of selecting a watermelon chew?
- What is the probability of NOT selecting a lemon chew?
- If Damian performs 100 more trials, how many times would we expect a lemon chew to be selected?
- How would the probabilities change if Damian changed the number of chews in the bag?
Tip: The more trials conducted, the more accurate the experimental probability becomes.
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Math Problem Analysis
Mathematical Concepts
Probability
Experimental Probability
Formulas
P(A) = Number of favorable outcomes / Total number of trials
Theorems
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Suitable Grade Level
Grades 6-8
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