Miranda has a bag of marbles with 5 blue marbles, 1 white marbles, and 1 red marbles. Find the following probabilities of Miranda drawing the given marbles from the bag if the first marble(s) is(are) not returned to the bag after they are drawn.

a) A Blue, then a red Preview
b)A red, then a white Preview
c) A Blue, then a Blue, then a Blue

(a) (b) (c)

Step-by-step explanation:

GIVEN: Miranda has a bag of marbles with blue marbles, white marbles, and

TO FIND: a) A Blue, then a red Preview

,b)A red, then a white Preview

,c) A Blue, then a Blue, then a Blue.

SOLUTION:

Total marbles in bag

(a)

Probability of drawing blue marble

As marble is not returned to bag,

Probability of drawing red marble  

(b)

Probability of drawing red marble

As marble is not returned to bag,

Probability of drawing white marble  

(c)

Probability of drawing blue marble

As marble is not returned to bag,

Probability of drawing second blue marble  

As marble is not returned to the bag

Probability of drawing third blue marble