30 of the divisors are multiples of 3
The factors of 2160 are 1, 2160, 2, 1080, 3, 720, 4, 540, 5, 432, 6, 360, 8, 270, 9, 240, 10, 216, 12, 180, 15, 154, 16, 135, 18, 120, 20, 108, 24, 90, 27, 80, 30, 72, 36, 60, 40, 54, 45, 48
These are all divisors of 2160 but only 30 are multiples of 3.
The ones that are NOT are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80
You can also do this using prime factors 2x2x2x2x3x3x3x5 = 2160 but it is harder to explain.
Answer:
48 + 8x = 9
Step-by-step explanation:
4 +
x = 
multiply through by 12 ( the LCM of 3 and 4 ) to clear the fractions
48 + 8x = 9
<span>On the first roll, the probability of rolling a 2 is 1/6.
On the second roll the probability of rolling a 3 is also 1/6, and the probability of rolling a 4 on the third roll is, you guessed it, 1/6.
Therefore the required probability is given by:
1/6 x 1/6 x 1/6 = 1/216</span>