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 £10,000 worth of possessions. The value she puts on her house and its contents if there is no break-in is £100,000. If Samantha is offered full coverage for her house at £1,500, what is her expected wealth with the insurance policy?
a. £80,000
b. £87,000
c. £97,000
d. £98,500