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Julie has two formal events to go to. She has six formal dresses--two blue ones, one black, one red, and two white.

Given she will not wear the same dress to both events she calculates the probability of her wearing blue to both events as

p(blue and blue) =
2
6
·
2
6
.

Is she correct?
A) yes, the two events are independent.
B) no, the two events are independent.
C) no, the probability of the second dress being blue changes after she chooses the first dress.
D) yes, the probability of the second dress being blue is not dependent on the first dress being blue.

Answer :

I believe it would be letter c

Answer:

C) no, the probability of the second dress being blue changes after she chooses the first dress.  

Step-by-step explanation:

Since she will not wear the same dress to both events, this changes the probability of choosing the second blue dress.

Choosing the first blue dress has a probability of 2/6; this is because there are 2 blue dresses out of 6 total.

After choosing the first blue dress, there is only 1 blue dress left out of 5 total.  This is not the same probability; thus (2/6)(2/6) is not the correct probability.

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