Question

Probability and z tests 1. Do you play the lottery? Why or why not? If you play, do you know the odds of winning before you play? 2. Do you think that the lottery should be legal? 3. On nostalgia night you decide to play Boardwalk. Remember that it is played with two six-sided dice. a. You are in jail. If you roll doubles you get out. What are your odds of rolling doubles? b. You roll doubles. Now you are out. You get to roll again. What are your odds of rolling doubles on your second roll? c. Well it happened again. You rolled doubles a second time. What are your odds of rolling doubles on the third roll? d. What are your odds of rolling doubles three times in a row and going back to jail? e. Have you ever had to go to jail for three doubles? If you said yes, does it imply that you played monopoly a lot of times?

Answer 1

Hello Sir/ Mam

1. No, I don't play lottery. Because I understand that lotteries are designed in order to have negative expected values and we are more likely to lose in lottery than to gain. I don't play because I know the odds of winning which are not in our favour most of the times.

2. No, lottery shouldn't be legalised. Many innocent people play lottery in expectation of winning the grand prize but end up losing their money as they don't know that the odds of winning are against them.

3.

(a)

Hence,

b.

Hence,

c.

Hence,

Now,

Hence,

I hope this solves your doubt.

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