Abag contains 8 b l a c k marbles, 5 w h i t e marbles, and 3 y e l l o w marbles. if a marble is drawn from the bag, replaced, and another marble is drawn, what is the probability of drawing first a b l a c k marble and then a y e l l o w marble? b. a bag contains 5 r e d marbles, 3 y e l l o w marbles, and 8 w h i t e marbles. if two different marbles are drawn from the bag , what is the probability of drawing first a r e d marble and then a w h i t e marble?

(a).

(b).

(a).

The number of Black marbles in the bag = 8

Number of White marbles in the bag = 5

Number of Yellow marbles in the bag = 3

Total marbles in the bag = 16

The probability is given by,

So,

Probability of drawing a Black Marble first is,

Now replacement is done.

So,

Probability of drawing Yellow Marble second is,

So,

Probability is given by,

Therefore, the probability is,

(b).

Number of Red marbles = 5

Number of Yellow marbles = 3

Number of White marbles = 8

Total marbles = 46

Probability of drawing a Red marble first is given by,

And,

Probability of drawing a White marble second is given by,

As, there is no replacement.

So,

Probability is given by,

Therefore, the Probability is given by,

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range:

other answer is correct. i had used the radius of the radius somehow. a website: