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A bag contains 9 red chips, 7 blue chips, and 8 green chips. Bobby selects two chipsfrom the bag without replacement. What is the probability that he selects 2 red chips?Express your answer as a percent rounded to 1 decimal place. For example x.x% orxx.x%

Respuesta :

A bag contains 9 red chips, 7 blue chips, and 8 green chips.

So then our sample space size is:

[tex]S=9+7+8=24[/tex]

We also know that. Bobby selects two chipsfrom the bag without replacement. What is the probability that he selects 2 red chips?

Solution

We can use the definition of probability givne by:

[tex]p=\frac{possible}{total}[/tex]

The possible cases are given by 9C2 since we have a total of 9 red chips and we want to select just 2 and the total possibilites are 24C2 replacing we got:

[tex]p=\frac{9C2}{24C2}=\frac{36}{276}=\frac{3}{23}[/tex]

And if we convert this into % we got:

[tex]\frac{3}{23}\cdot100=13.04[/tex]

And rounded would be about 13.0%

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