how do i show that the probability of throwing a large straight in yahtzee is 5/162.

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- Oct 24th 2007, 06:18 PMjayneprobability and combinatorics
how do i show that the probability of throwing a large straight in yahtzee is 5/162.

- Oct 24th 2007, 07:22 PMSoroban
Hello, jayne!

I assume we are allowed__one__throw to get the large straight.

. . Then I get a different answer . . .

Quote:

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} $

- Oct 24th 2007, 07:26 PMSnipedYou
Soroban don't forget that 1,2,3,4,5 is a large straight as well

So you would have $\displaystyle \frac{2 \cdot 5!}{6^{5}} = \frac{5}{162}$ - Oct 24th 2007, 07:40 PMSoroban
I thought 1-2-3-4-5 was called a

*small straight*

. . and 2-3-4-5-6 is the*large straight.*

- Oct 24th 2007, 07:42 PMSnipedYou
No a small straight is 4-in-a-row and a large straight is 5-in-a-row. Well by the rules I play by.

- Oct 24th 2007, 08:03 PMjaynethanxs
thanks for all your help to those who helped me out (Handshake)