how do i show that the probability of throwing a large straight in yahtzee is 5/162.
Hello, jayne!
I assume we are allowed one throw to get the large straight.
. . Then I get a different answer . . .
The probability of throwing 2-3-4-5-6 (in that order) is: .$\displaystyle \left(\frac{1}{6}\right)^5$Show that the probability of throwing a large straight in Yahtzee is 5/162.
Since there are $\displaystyle 5! = 120$ possible orders,
. . then: .$\displaystyle P(\text{large straight}) \;=\;\frac{120}{7776} \;=\;\frac{5}{324} $