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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?
fred simulates the situation by using a computer to randomly generate a pair of numbers from 1 to 4. each time 4 appears, it represents a green monster toy.
here are the results of 20 trials:
based on freds results, what is the probability that at least 1 of the monsters is green?
%
Step1: Count the number of trials
There are \(n = 20\) trials in total.
Step2: Count the number of trials with at least one \(4\)
Trials with at least one \(4\): \(24\), \(41\), \(44\), \(34\), \(43\), \(14\), \(42\), \(41\). There are \(m=9\) such trials.
Step3: Calculate the probability
The probability \(P=\frac{m}{n}\times100\%\). Substitute \(m = 9\) and \(n=20\) into the formula: \(P=\frac{9}{20}\times100\% = 45\%\)
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\(45\)