The probability that Bounce
got the coconut in the end
=P(game ended in 1 throw)+P(game ended
in 3 throws)+P(game ended in 5 throws)+...
=0.2 + 0.8x0.7x0.2 + 0.8x0.7x0.8x0.7x0.2
The probabilities that Bounce
got the biggest coconut were
5/11 and 6/11 respectively
Answers to the previous
shooting first actually increase
chance of hitting the coconut?
see how significantly Bounce's
chance of getting the coconut increased to 5/11 when Bounce
could throw a stone first.
shooting first provide Bounce
a sufficient advantage to overcome
his lesser skill?
still more likely to win the biggest coconut. But note how close the
game was once Bounce
had the first-mover