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Question
question 11
youre a player in a video game and have the option to choose from 4 character options (elf, dwarf, human, ranger) and 3 weapons options (axe, shield, spear). what is the probability that you will not be a ranger and will not use a shield?
submit your answer as a simplified fraction or a decimal rounded to the hundredths place.
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Step1: Calculate total combinations
The total number of character - weapon combinations is the product of the number of character options and the number of weapon options. So, $4\times3 = 12$ combinations.
Step2: Calculate favorable combinations
The number of non - ranger characters is $3$ (elf, dwarf, human). The number of non - shield weapons is $2$ (axe, spear). The number of favorable combinations (non - ranger and non - shield) is $3\times2=6$.
Step3: Calculate probability
The probability $P$ is the number of favorable combinations divided by the total number of combinations. So, $P=\frac{6}{12}=\frac{1}{2}=0.50$.
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