At first there are three marbles for Sam to pick from. the possibility of drawing a colored marble is 2/3. if Sam picks one of the colored marbles, the possibility of therefore (if he'd drawn the colored marble) drawing the second colored marble is 1/2. for the possibility of those happening consequently, we have to multiply the possibilities. 2/3 * 1/2 is 2/6 is 1/3. which means Sam wins in 33.333...% cases. Julie has a better chance of winning.
adding a white marble would change the possibilities to 1/2 and 1/3 consequently, meaning Sam wins in 1/2 * 1/3 = 1/6 = 16.7% cases, which is even less fair.
adding a colored marble would change the possibilities to 3/4 and 2/3 consequently, meaning Sam wins in 3/4 * 2/3 = 6/12 = 50% cases, which finally makes the game fair.
Answer:
1
Step-by-step explanation:
Let us consider the case of 3 numbers: x, y, and z.
Then x/x+y+z + y/x+y+z + z/x+y+z = x+y+z/x+y+z = 1
The same works also for any quantity of numbers.
Answer:
-2
Step-by-step explanation:
We can find the slope of a line by using two points
(-2,1) and (2,-7)
The slope is given by
m = (y2-y1)/(x2-x1)
= (-7-1)/(2- -2)
= (-8)/(2+2)
= -8/4
=-2
I’m not sure about number 1 but the answer for number 2 is
-4 1/2, -4.2, -4, ,0, 4