In the New York State Win 4 lottery, you place a bet by selecting four digits. Repetition is allowed, and winning requires that your sequence of four digits matches the four digits that are later drawn. Assume you placed one bet with a sequence of four digits.

a. Use the multiplication rule to find the probability that your first two digits match those drawn and your last two digits do not match those drawn. That is, find P (MMXX), where M denotes a match and X denotes a digit that does not match the winning number.

b. Beginning with MMXX, make a complete list of the different possible arrangements of two matching digits and two digits that do not match, then find the probability for each entry in the list.

c. Based on the preceding results, what is the probability of getting exactly two matching digits when you select four digits for the Win 4 lottery game?

Solution Summary

The solution comprises of detailed step-by-step calculations using the multiplication rule to find the probability of winning the lottery.

... to wait approximately 100 million weeks, or roughly 1.9 million years, before winning the jackpot. ... c. If you win a prize, what is the probability it is ...

... a. How many different selections are possible? b. What is the probability of winning? ... (Integer or a decimal)l) c. If you win, what is your net profit? ...

... is the sum of the above probabilities, which is ... This means that the probability of not winning anything is ... money that an individual expects to win is: 50000000 ...

... Number of Matches Number of Possibilities 0 1,947,792 1 2,261,952 2 883,575 3 142,800 4 9,450 5 ... Find the probability of the following ... e. Winning Lotto Lottery. ...

... 2 newsletter that ethically states the probability of a 25 ... not say that I wouldn't want to win 50 million ... She beat the odds by winning the New Jersey lottery...

...lottery tickets although I am not lucky to win a good ... amount for a ticket is based on probability theory ... The winning amount for four matching digits is $100 and ...

... the calculation of binomial, normal and Poisson probabilities. ... ie not important), what is probability of someone ... selecting the six (6) winning lottery numbers). ...

... 10+8+6+4+2 =0 = 34 can win different prizes ...Probability of r success or people not aware of ... p(15) Using binomial formula for calculating probabilities for each ...