Two number cubes are rolled for two separate events: event a is the event that the sum of numbers on both cubes is less than 10. event b is the event that the sum of numbers on both cubes is a multiple of 3. complete the conditional-probability formula for event b given that event a occurs first by writing a and b in the blanks: a0 | a1) = a2 ∩ ) a4) if someone could comment cant figure this question out

Step-by-step explanation:

Since we have given that

A: getting the sum of number on both cubes is less than 10

B: getting the sum of numbers on both cubes is a multiple of 3

Conditional probability for event B given that A occurs first :

A ={(1,1)(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(5,1)(5,2),(5,3),(5,4),(6,1)(6,2)(6,3)}

B={(1,2),(2,1),(4,2)(2,4),(3,3),(5,4)(4,5),(3,6),(6,3)}

and

and

So using the formula,

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

pla·gia·rism

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noun

the practice of taking someone else's work or ideas and passing them off as one's own.

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