Complementary Probability

$P(\text{will occur}) + Q(\text{will not occur}) = 1$

What is the probability that 4 depth charges will sink the submarine?

Problem
Assume that a single depth charge has a probability of 1/2 of sinking a submarine, 1/4 of damage and 1/4 of missing. Assume also that two damaging explosions sink the sub. What is the probability that 4 depth charges will sink the sub?
 

Survival Probability Of The 6th Fly that Attempt To Pass A Spider

Problem
A spider eats three flies a day. Until he fills his quota, he has an even chance of catching any fly that attempts to pass. A fly is about to make the attempt. What are the chances of survival, given that five flies have already made the attempt today?

A.   1/2 C.   3/4
B.   1/4 D.   2/3

 

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