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Joe has 10 white shirts, 7 gray shirts, 8 black shirts, 4 gray jackets, and 6...

Joe has 10 white shirts, 7 gray shirts, 8 black shirts, 4 gray jackets, and 6 black jackets.

      Each morning Joe picks a shirt and a jacket at random to wear that day.

      What is the probability that on any given day, Joe’s shirt and jacket will be of different colors?

       (Give 3 decimal places)

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