Question

Probability help, please?

Answer 1

You are playing Monopoly with a friend. She owns and has developed Park Place and Boardwalk with hotels.

If you roll an 8, you will land on Park Place and owe her $1500. You will be able to pay, but you will not have money left afterward. If you roll a 9, you will land on Luxury Tax and have to pay $75. If you roll a 10, you will land on Boardwalk and owe her $2000, which is more than you can pay--and lose the game. If you roll a 7 or less, you will not have to pay any money to anyone.

Your friend offers you insurance. Pay her $500 before you roll and even if you land on Boardwalk or Park Place, you will not have to pay any additional money. However, if you roll a 7, you will have to pay her $1000.

Use probabilities to find expected values. Then compare the amount of money you should expect to pay out on average, under her insurance and by chance. Is her deal fair?

Answer 2

I know this is a complicated problem, haha. I'm just lost

Answer 3

https://qph.is.quoracdn.net/main-qimg-0c7ca9aa11f7470bacb35b499cfbf396?convert_to_webp=true
First you need the probabilities of an 8 etc, which you can get from that

Then work out expected value - multiply each relevant probability by how much money would be lost, then add up all the results

Answer 4

How do I go about getting the probabilities from that chart?

Answer 5

Prob = number of desired outcomes/total outcomes.

Eg. for rolling an 8, how many 8s there are, over the total number of outcomes

Answer 6

5

Answer 7

So 5/36?

Answer 8

Well yes but 8 is just an example. You need the probability for all the relevant dice outcomes.

Answer 9

yeah

Answer 10

For me, it helps to make up a table