The Deer Hunt

In ye legendary olden times in Sherwood Forest, Robin Hood, Little John and Friar Tuck set out to bag a great deer for a large celebration to be held on the occasion of King Richard’s return to England from the Crusades.

Robin’s probability of bagging a deer with his bow and arrow is 0.9, Little John’s and Friar Tuck’s 0.7 and 0.5, respectively.  The feathers of their arrows are green, blue and red, respectively. They will fire simultaneously.

Shortly they track down and bag a large deer and haul it back to the camp on a wagon to be received by a multitude of cheering band members preparing to make merry.

What is the probability of the cook and his helpers finding a green, blue and red arrow in the deer?
And the probability of only a red arrow?
What about just a green and a blue arrow?
Or just a green arrow?
Or at least one arrow?

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