Two twin brothers each have two favorite sweat shirts that they wear every other day. One day, dad decides that all four sweat shirts need to be washed! He takes all four shirts and washes and dries each. After washing the shirts, he cannot tell which sweat shirts go to which brother. If dad randomly gives each brother two of the four shirts, what is the probability that each brother will get his correct two shirts?

Question

Two twin brothers each have two favorite sweat shirts that they wear every other day.  One day, dad decides that all four sweat shirts need to be washed!  He takes all four shirts and washes and dries each.  After washing the shirts, he cannot tell which sweat shirts go to which brother.  If dad randomly gives each brother two of the four shirts, what is the probability that each brother will get his correct two shirts?

Steve · Answer

There are 4 shirts A,A,B,B There are 4 possible outcomes when drawing two shirts AA AB BA BB So, if he draws two shirts and gives them to A, then AA is the only correct outcome, meaning p = 0.25