Two buddies, Zeke and Bubba, plan a squirrel-hunting trip. Bubba is a better sho

Question

Two buddies, Zeke and Bubba, plan a squirrel-hunting trip. Bubba is a better shot than Zeke. How much better? Bubba is 2-times a better shot than Zeke.

Upon seeing a squirrel, Bubba and Zeke raise their rifles and simultaneously shoot at the squirrel. Assume that Bubba shooting the squirrel and Zeke shooting the squirrel are independent events, and that the probability of Zeke shooting the squirrel is 0.25.

Part (a) What is the probability that the squirrel will be shot?
P(squirrelshot)=P(squirrelshot)=

(use four decimals)

Part (b) What is the probability that both Zeke and Bubba will miss the squirrel?
P(bothmiss)=P(bothmiss)=

(use four decimals)

Part (c) If the squirrel is shot, what is the probability that Zeke shot the squirrel?
P(Zekeshotthesquirrel)=P(Zekeshotthesquirrel)=

(use four decimals)

Part (d) If only one of the two buddies shot the squirrel, what is the probability it was Bubba?

(use four decimals)

Explanation / Answer

Part (a) P(squirrelshot) = 0.25*(1/3)+0.75*(2/3)

= 0.5833

Part (b) P(bothmiss) = (1-(1/3)*(1-2/3)

= 0.222

Part (c) P( Zeke/Squirrel shot) = (0.25*(1/3))/0.5833

= 0.1429

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