Answer:
Step-by-step explanation:
When two fair dice are tossed sample space consists of 36 events
(1,1)....(6,6)
A_ The difference of numbers is 2 or less
Favorable outcomes = 
Hence Probability = 
B) A 4 does not appear on either die
Then we must not have these
Hence probability = 
C: The sum of numbers is 10 or more:
FAvourable outcomes are:
Probability = 
Easy way, visual
50---68---80%
Difference 18 12
Invert order to give ratio of 50% and 80%
Ratio 12 18 = 2:3
So by simple proportion:
volume of 50% needed = 100*2/(2+3)=40 mL
volume of 80% needed = 100*3/(2+3)=60 mL
Algebra way
Let x=volume of 50% needed.
Then
0.50*x+0.80*(100-x) = 0.68(100)
Expand and solve for x
0.5x+80-0.8x = 68
0.8x-0.5x = 80-68
0.3x = 12
x=12/0.3 = 40 mL (volume of 50%)
100-x=100-40=60 mL (volume of 80%)
Answer:
truth
Step-by-step
it shows in the box below
