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Zorluk: OrtaSingle Event Probability

A quartermaster is organizing a drawer of 6060 uniform patches. The drawer contains 1515 rank insignia patches, 2121 unit patches, and the remaining patches are flag patches. If one patch is randomly selected from the drawer, what is the probability of selecting a flag patch? Express your answer as a decimal.

Cevap: 0.4

Cevap

0.4
The probability is found by dividing the number of flag patches (2424) by the total number of patches (6060). The fraction 2460\frac{24}{60} simplifies to 25\frac{2}{5}, which is 0.40.4 when expressed as a decimal.

Adım Adım Çözüm

1
Calculate the number of flag patches in the drawer.
60−(15+21)=60−36=2460 - (15 + 21) = 60 - 36 = 24 flag patches.
To determine the probability, the exact number of the desired item (flag patches) must first be known.
2
Set up the probability fraction.
2460\frac{24}{60}
The probability of a single event is the number of favorable outcomes divided by the total number of possible outcomes.
3
Convert the fraction to a decimal.
2460=25=0.4\frac{24}{60} = \frac{2}{5} = 0.4
The question explicitly specifies that the final answer must be expressed as a decimal.

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Single Event Probability
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Single Event Probability

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