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
.
Well 32 x 405 is 12,960, but it ask for 2 numbers added to make 12,960 so the answer is 810 + 12,150 which is 2 products that add up to the answer 12,960.
X = -2
3 x -2 = -6
-6 -2= -8
|-8| = 8
-2 + 1= -1
|-1|=1
2.41+6(0.41)+(lb-7)0.39=7.99
2.41+2.46-2.73+0.39lb=7.99
0.39lb=5.85
lb=15
The package of books weights 15 pounds...
Answer:
(1/6)^2
Step-by-step explanation:
We want to find the fraction that is equivalent to 1/36.
Let us look at each of them individually:
a. ![(\frac{1}{108})^3 = \frac{1}{1259712}](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B108%7D%29%5E3%20%3D%20%5Cfrac%7B1%7D%7B1259712%7D)
b. ![(\frac{1}{9})^4 = \frac{1}{6561}](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B9%7D%29%5E4%20%3D%20%20%5Cfrac%7B1%7D%7B6561%7D)
c. ![(\frac{1}{6})^2 = \frac{1}{36}](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B6%7D%29%5E2%20%3D%20%20%5Cfrac%7B1%7D%7B36%7D)
d. ![(\frac{1}{5})^2 = \frac{1}{25}](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B5%7D%29%5E2%20%3D%20%5Cfrac%7B1%7D%7B25%7D)
Therefore, the correct answer is c.