SOLUTION: Kara’s shirt collection is shown below. If her shirts are jumbled in a drawer, then determine the probability that Kara randomly draws each of the following: 2 pink shirt, 1 pu

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Question 1195893: Kara’s shirt collection is shown below. If her shirts are jumbled in a drawer, then determine the probability that Kara randomly draws each of the following:
2 pink shirt, 1 purple shirt, 1 green shirt, 1 short-sleeved shirt
(a) a pink shirt or a purple shirt
(b) a pink shirt or a short-sleeved shirt

Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

The total number of shirts is 2 + 1 + 1 + 1 = 5.


In both cases (a) and (b), the same formula works

    P = favorable%2Ftotal.



In case (a), the number of favorable outcomes is 2+1 = 3.

In case (b), the number of favorable outcomes is 2+1 = 3  (the same).



THEREFORE, in both cases P = 3%2F5 = 0.6 = 60%.    ANSWER

Solved and explained.



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Note that the problem is very poorly constructed; as presented it can't be answered definitively.

The response from the other tutor assumes that the short-sleeved shirt is neither pink nor purple nor green, making a total of 5 shirts.

But if the short-sleeved shirt is either one of the pink shirts, or the purple or the green shirt, then there are only 4 shirts, making the answers to the questions different.

ANSWERS: We don't know, because the given information is not defined well enough.