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Question
read the story.
fred collects bantam monster toys. the toys are sold individually in mystery bags. fred noticed he gets his favorite toy, the green monster, about 25% of the time. he bought 2 mystery bags from the store today. how likely is it that at least 1 of the monsters in them is green?
which simulation could be used to fairly represent the situation?
put 1 green block and 4 blue blocks in a bag. pick a block, then return it to the bag, 2 times. each time a green block appears, it represents a green monster toy.
create a deck of 25 cards, each labeled with a different number from 1 to 25. pick a card, then return it to the deck, 2 times. each time a 25 appears, it represents a green monster toy.
use a computer to randomly generate a pair of numbers from 1 to 4. each time 4 appears, it represents a green monster toy.
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Step1: Calculate probability of getting green monster
Fred gets green monster \(25\%=\frac{1}{4}\) of the time.
Step2: Analyze each simulation
- First option: Total blocks \(1 + 4=5\). Probability of green block \(\frac{1}{5}=20\%
eq25\%\).
- Second option: Probability of picking card \(25\) is \(\frac{1}{25}=4\%
eq25\%\).
- Third option: Numbers from \(1\) to \(4\). Probability of getting \(4\) is \(\frac{1}{4}=25\%\).
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Use a computer to randomly generate a pair of numbers from 1 to 4. Each time 4 appears, it represents a green monster toy.