What is the Probability of Getting 13 out of 46?

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SUMMARY

The discussion centers on calculating the probability of selecting a boy from a group of 46 students, where 13 are boys. The correct probability is determined to be $\displaystyle\frac{13}{46}$, as it accounts for the total number of boys in the sample. Participants clarify that the initial assumption of 100 possibilities was incorrect, emphasizing the need to focus solely on the boys when calculating probabilities. This highlights the importance of understanding the context of the problem when determining probabilities.

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View attachment 1210

the numbers in () and boxes are mine, easy problem but still can make mistakes..(Wasntme)
 
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karush said:
View attachment 1210

the numbers in () and boxes are mine, easy problem but still can make mistakes..(Wasntme)

Hey karush!

Your table looks just fine and so is your answer to the first question.

However, for the second question, you have to consider what the total number of possibilities is. Apparently you thought it was a 100, but then you did not take into account that it is given that it is a boy. You should look only at the boys.
 
I like Serena said:
Hey karush!

Your table looks just fine and so is your answer to the first question.

However, for the second question, you have to consider what the total number of possibilities is. Apparently you thought it was a 100, but then you did not take into account that it is given that it is a boy. You should look only at the boys.

see what you mean, so it should be $\displaystyle\frac{13}{38}$
 
karush said:
see what you mean, so it should be $\displaystyle\frac{13}{38}$

Nope. Not yet.
It should be the number of boys that watch television divided by the total number of boys.
You just calculated the probability that a student is a boy, given that (s)he prefers to watch television.
 
$\displaystyle\frac{13}{46}$ :cool:
 

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