Carmen has a bag of marbles with 5 different colors. She randomly selects a marble from a bag and then returns the marble to the bag. She does these 300 times. The table below shows
her results.
Based on the data in the table, what is the estimated probability that Carmen draws a red or
blue marble?
Color of Marble
Number of Time Selected
Red
33
Yellow
97
Green
68
Blue
72
Orange
30

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step-by-step explanation:

a) 0,0; 1,1; and 2,2

step-by-step explanation:

these have the exact same coordinates, thus they are the correct function.

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."