A drawer contains 3 tank tops, 6 short-sleeve shirts, 4 three-quarter sleeve shirts, and 5 long-sleeve shirts. What is the probability of randomly choosing a tank top and then a three-quarter sleeve length, if you replace the tank top?
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OpenStudy (anonymous):
You have a sample size of 3 + 6 + 4 + 5 objects. There are 3 tank tops. What is the probability?
OpenStudy (anonymous):
2/3 ?
OpenStudy (anonymous):
No, you have 18 total objects. You've got one shot to pick 3 out of 18 of them. What are those odds?
OpenStudy (anonymous):
\[\frac{\text{Number of tank tops}}{\text{Number of total objects}} \times \frac{\text{Number of three-quarter sleeves}}{\text{Number of total objects}}\]
OpenStudy (anonymous):
7/18 ?
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OpenStudy (anonymous):
No, you aren't adding them.
OpenStudy (anonymous):
thenn 1/18
OpenStudy (anonymous):
When you multiply fractions remember
\[a / b * x / y = ax/by\]
\[(3/18)(4/18)\]
OpenStudy (anonymous):
12/ 18?
OpenStudy (anonymous):
What is 3 * 4?
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OpenStudy (anonymous):
12
OpenStudy (anonymous):
And 18 * 18?
OpenStudy (anonymous):
324
OpenStudy (anonymous):
And what is 12/324?
OpenStudy (anonymous):
ohhhh 1/27 ?
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OpenStudy (anonymous):
Correct, or roughly 3.7%. Wouldn't put a high bet on that happening. :]