What is the probability you wear blue shirts both days?

Question

There are eight shirts in your closet four blue and four green. You randomly select one to wear on Monday and then a different one on Tuesday.what is the probability you wear blue shirts both days ?

Answer 1

So this is what Mark M is asking.

 

There are 2 possible scenarios.

 

1 If the person wears the shirt and puts it in the laundry, not the closet, the answer will be

    4/8 for the first blue shirt multiplied by 3/7 for the second blue shirt since one blue shirt has been used and not

    returned to the closet. The final answer would be 12/56 or 3/14.

 

2  If the person wore the shirt then returned it to the closet and then chose a different blue shirt, the probability would 

    be 4/8 * 3/8. There are 3 different blue shirts that he hasn't worn yet but since you returned the shirt to the closet,

    There are still 8 shirts to choose from. The final answer would be 12/64 or 3/16.

 

Your teacher probably meant the first case, but the problem really isn't stated clearly enough. I hope you can see the difference in the 2 cases.

 

Hope this helped.