Question

At a glass vase factory, 2 out of the last 12 vases produced were chipped. Considering this

data, how many of the next 18 vases would you expect to be chipped?
Vases
​

Answer 1

1

Explanation:

First, write the experimental probability as a fraction in simplest form.

P(chipped)

=

chipped

total

=

2

20

=

1

10

The experimental probability is

1

10

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

1

10

=

n

10

1

10

(1010)

=

n

10

(1010) Multiply both sides by (1010)

110

= 10n Simplify

10

= 10n Simplify

1

= n Divide both sides by 10

You would expect 1 of the next 10 vases to be chipped.

Answer 2

3 vases chipped.

Explanation:

Let's use a ratio:

chipped : all

2 : 12

1 : 6

3 : 18

We can expect 3 out of 18 vases to be chipped.