In: Statistics and Probability
A lottery game is played in many places and requires $1 per ticket to play. To win the jackpot, a person must correctly pick five unique numbers from balls numbered 1 through 36 (order does not matter) and correctly pick a final number, which is chosen from balls numbered 1 through 26. What is the probability of winning the jackpot?
Total number of ways to choose 5 numbers between 1 and 36 = 36C5 = 36! / (5! * (36 - 5)!) = 376992
P(winning) = 1/376992 * 1/26 = 1 / 9801792