Can anyone help me with this math problem?
What are the odds that, upon rolling the five dice, you would be able to spell the name of a Neopet species with some or all of the letters displayed on the dice? Assume each die can only be used once in the word; for example, if you rolled “A,A,B,C,D” you could use A twice, but B, C, and D only once.
Please submit your answer as a whole number, rounded to the nearest whole number. (i.e. if the odds are 1 in 100, submit the answer “100”.)
I found that the only Neopet species with those letters were:
Eyrie
Koi
Kyrii
Kiko
Please help!!!!!!!!!!!
Favorite Answer
There are 6^5 = 7776 total ways for the dice to come up.
There are 5*4*3*2*1/2 = 60 ways to get the letters in Eyrie.
Likewise, there are 60 ways to get the letters in Kyrii.
There are (3*2*1) * (3*2*1) * 6 * 6 = 1296 ways to get the letters in Koi.
60 + 60 + 1296 = 1416 total ways to get letters that spell a Neopet species.
The probability of doing so is
1416/7776
= 59/324
= approx 18.2 %
This is about 1 out of every 5.5, so I think you want 5.5 as the answer.
I hope this helps!
