Q6. c) (i) and (ii) 2011 HSC (1 Viewer)
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HeroicPandas
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(i) Find the prob. of Darcy winning game 1
He wins if he hits target at LEAST once and he given TWO darts
P(win game 1) = P(hit target once) + P(hit target twice)
^1 (1-p)^1 + \binom{2}{2} (p)^2 (1-p)^0 \\ \\ P = 2p(1-p) + p^2 \\ \\ P = 2p - p^2)
same thing ofr ii
OR:
P(win game 1) = 1 - P(lose game 1) = 1 - [P(miss both targets)] = 1 - (1-p) x (1-p) = ...
He wins if he hits target at LEAST once and he given TWO darts
P(win game 1) = P(hit target once) + P(hit target twice)
same thing ofr ii
OR:
P(win game 1) = 1 - P(lose game 1) = 1 - [P(miss both targets)] = 1 - (1-p) x (1-p) = ...
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