P ( winnning in 3 attempts) :
P ( hitting target in all 3 attempts) + P (hitting target in atleast 2)
= p^3 + 3 (p^2 (1- p ))
= p^3 + 3p^2 - 3p^3
= -2p^3 + 3p^2
Rephrase question is p> -2p^3 + 3p^2
after simpifying we get :
is 2p^2 - 3p + p > 0 ?
boils down to is p> 1/2?
Hence B
P ( hitting target in all 3 attempts) + P (hitting target in atleast 2)
= p^3 + 3 (p^2 (1- p ))
= p^3 + 3p^2 - 3p^3
= -2p^3 + 3p^2
Rephrase question is p> -2p^3 + 3p^2
after simpifying we get :
is 2p^2 - 3p + p > 0 ?
boils down to is p> 1/2?
Hence B







