In the popular dice game Yahtzee, a Yahtzee occurs when five identical numbers turn up on a set of five standard dice. What is the probability of rolling a Yahtzee on one roll of the five dice?
This is my answer:
(1/6) ^ 5 =1/7776
However, my text has the answer as 1/1296
Where did I go wrong, or is the text wrong?
ok.. thanks, but wait, just another question.. I'm not really sure I understand how there are "six possible numbers for which you can get a Yahtzee". I understand this part
(1/6)^5 because that's like saying the identical numbers part, which means you get a yahtzee. But then when you multiply by six...how is there another six possibilities to get a yahtzee when the question says that it takes FIVE identical numbers out of six, to get a yahtzee. can you please explain.
As Mr F said in post 2 there are 6 numbers on a fair die. As the Yahtzee can be obtained using any number (1,2,3,4,5 or 6) this means you must multiply by 6 to compensate.
If you're unsure list all the possible combinations
edit: if I rolled 5 ones I would get a yahtzee. Would I have got a Yahtzee if I'd rolled 5 fours instead? What about 5 threes