Dependent events problem

alemara

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Joined
Apr 13, 2020
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3
Hello,

I am stuck with the last question and really hope somebody can assist.

I thought the solution was 1/252 but it looks like it's wrong.

Thank you for helping if you can.

Regards
Alessandro

Test.png
 
A given blouse has probability 1/2 of being either long or short sleeved.
She chooses 5.
We assume her choices are independent of one another.
Can you determine the probability of all long sleeve blouses now?
 
Hello,

I am stuck with the last question and really hope somebody can assist.

I thought the solution was 1/252 but it looks like it's wrong.

Thank you for helping if you can.

Regards
Alessandro

View attachment 17890
You said:For (3)

I thought the solution was 1/252......

How did you calculate that number? What assumptions did you make?
 
A given blouse has probability 1/2 of being either long or short sleeved.
She chooses 5.
We assume her choices are independent of one another.
Can you determine the probability of all long sleeve blouses now?
If we assume that the events are independent it means that we should handle this as a compund event thus applying the multiplication rule right?
Since the probability of getting 1 long sleeve blouse is, of course, 1/2 multplying that 5 times would give 1/32 but the result is still not right...
 
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