Scatterbrain Samantha often forgets to lock her house. This has caused the probability of a burglary to be 30%. If her house gets broken into, she faces a property loss of $10,000, otherwise she gets to keep her $100,000. What is her expected loss?

The question is missing the below options:

A $3000 ?B$10,000 ?C$30,000 ?D$100,000

The correct option is A,as expected loss is $3000 as computed below

Explanation:

The expected loss can be computed thus:

probability of theft*property loss of theft+probability of no theft*property loss of no theft

Probability of theft is 0.3(30%)

probability of no theft 0.7(1-0.3)

property loss of theft is $10000

property loss when no theft occur is $0

Expected loss=0.3*$10000+0.7*$0

expected loss=$3000+$0

expected loss=$3000

One needs to know that the entire probability of theft and no theft occurring is 1,so when one is given as 0.3,automatically the remainder belongs to other.

can you show the map , i'll be able to update my answer