Answer:
1/792
Step-by-step explanation:
1/12C7 = 1/792
Allison is a beautiful young woman with a small home in Arkansas and she lives there with her husband Robert and daughter Lindsay who both like to go out fishing during the summer in Wisconsin where Robert's parents, Carrie and Mitch live near a sparkling, blue lake.
Answer: ![\dfrac{5}{9}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B9%7D)
Step-by-step explanation:
When we throw a die , Total outcomes =6
When we throw 3 dice , Total outcomes = 6 x 6 x 6 = 216 [by fundamental counting principle]
Given : Three fair dice are rolled, one red, one green and one blue.
Favorable outcomes : When the upturned faces of the three dice are all of different numbers i.e. no repetition of numbers allowed
By Permutations , the number of favorable outcomes = ![^6P_3=\dfrac{6!}{(6-3)!}=\dfrac{6!}{3!}=6\times5\times4=120](https://tex.z-dn.net/?f=%5E6P_3%3D%5Cdfrac%7B6%21%7D%7B%286-3%29%21%7D%3D%5Cdfrac%7B6%21%7D%7B3%21%7D%3D6%5Ctimes5%5Ctimes4%3D120)
The probability that the upturned faces of the three dice are all of different numbers = ![\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BFavorable%20outcomes%7D%7D%7B%5Ctext%7BTotal%20outcomes%7D%7D)
![=\dfrac{120}{216}=\dfrac{5}{9}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B120%7D%7B216%7D%3D%5Cdfrac%7B5%7D%7B9%7D)
The probability that the upturned faces of the three dice are all of different numbers is
.
Answer:
-1.5<x<-1.1
Step-by-step explanation:
-3.1+1.85=-1.5
-3.1+(-1.5)=4.6