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,