It's Only a Flesh Wound

Discrete Mathematics Level 3

King Arthur is in combat with The Black Knight. The Black Knight has four limbs; two arms and two legs. Arthur chooses a limb to strike at randomly and has a 50% chance of cutting the limb off.

The Black Knight will only be stopped when all of his limbs have been removed.

What is Arthur's probability of victory in 10 strikes? (Round your answer to the tenths place.)

If you're unfamiliar with this classic scene, it can be seen here.

Details and Assumptions

  • The loss of more limbs of The Black Knight does not increase King Arthur's chance of cutting the remaining limbs off.

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