In: Statistics and Probability
Pennsylvania has a lottery entitled “Pick 4.” To win, a player must correctly match four digits from a daily lottery in which four digits are selected.
Question #1 – What is the probability of winning if you play just one number?
Question #2 - In the Pick 4 lottery, for a bet of $100, the payoff is $5000. What is the value of winning? Is it worth it?
1)
total number of outcome of 4 digits =104 =10000
hence probability of winning if you play just one number =1/10000=0.0001
2)
value of winning =(5000)*0.0001=0.5
as this is smaller than value of bet ; therefore it is not worth it,