Question

Suppose a bag of marbles contains five green marbles, three blue marbles, six yellow marbles, and four white marbles. Maria shakes up the bad to mix the marbles and then draws one marble out of the bag. What is the probability that the marble Maria draws is:

Answer 1

a) blue = 1/6

b) white = 2/9

c) green or yellow = 11/18

d) neither blue nor yellow = 1/2

Explanation:

First, you have to find the total marbles Maria has in the bag.

5 green + 3 blue + 6 yellow + 4 white = 18 marbles.

To find the probability you can use the formula:

probability = favorable outcomes / total number of possible outcomes

a) For blue

the amount of blue marbles are 3, so the probability is 3/18, simplifying the fraction you get 1/6.

b) For white

the amount of white marbles are 4, so the probability is 4/18, simplifying the fraction you get 2/9.

c) For green or yellow

the amount of green marbles are 5 and the amount of yellow marbles are 6, so the probability is 11/18.

d) neither blue nor yellow

the amount of blue marbles are 3 and the amount of yellow marbles are 6, so there are 9 out 18 that are not blue nor yellow, so the probability is 9/18, simplifying the fraction you get 1/2.