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the following set of chips is placed inside a bag. then, without lookin…

Question

the following set of chips is placed inside a bag. then, without looking, a chip is pulled out of the bag. what is the probability that the chip chosen will contain a filled - in square? submit your answer as a simplified fraction, as well as a decimal and percentage, both rounded to the hundredths place.

Explanation:

Step1: Count total chips

There are 8 chips in total.

Step2: Count favorable chips

There are 3 chips with filled - in squares.

Step3: Calculate probability as fraction

The probability $P$ as a fraction is $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{3}{8}$.

Step4: Calculate decimal

$\frac{3}{8}=3\div8 = 0.375\approx0.38$.

Step5: Calculate percentage

$0.375\times100\% = 37.5\%\approx38\%$.

Answer:

Fraction: $\frac{3}{8}$
Decimal: $0.38$
Percent: $38\%$