Question
In a state lottery, four digits are drawn at random one at atime with replacement from 0 to 9. Suppose that you win ifany permutation of your selected integers is drawn. Give theprobability of winning if you select. A) 6,7,8,9 B) 6,7,8,8 C) 7,7,8,8 D) 7,8,8,8 In a state lottery, four digits are drawn at random one at atime with replacement from 0 to 9. Suppose that you win ifany permutation of your selected integers is drawn. Give theprobability of winning if you select. A) 6,7,8,9 B) 6,7,8,8 C) 7,7,8,8 D) 7,8,8,8
Explanation / Answer
A) The number of favorable cases, when we select 6,7,8,9 is4!=24. The total number of exhaustive cases is 9P4=3024. The probability of winning if we select for the first timeis 4!/9P4= 24/3024. =0.007937. B) Similarly, others can be done.