Find the probability

Question

There are thirteen shirts in your closet, five blue and eight green. You randomly select one to wear on Monday and then a different one on Tuesday. You wear a blue shirt on Monday and a green shirt on Tuesday.

Answer 1

I assume your question is "What is the probability that you wear a blue shirt on Monday and a green shirt on Tuesday?"

 

     P(blue on Monday) = 5/13

 

On Tuesday, you have only 12 shirts left, 4 blue and 8 green.

 

     P(green on Tuesday) = 8/12   = 2/3

 

     P(blue on Mon. then green on Tue.) = P(blue on Mon.) · P(green on Tue.)

     = 5/13 · 2/3

     = 10/39