1.) Latoya has a bag with

8

balls numbered

1

through

8

. She is playing a game of chance.

This game is this: Latoya chooses one ball from the bag at random. She wins

$1

if the number

1

is selected,

$2

if the number

2

is selected,

$5

if the number

3

is selected,

$6

if the number

4

is selected,

$8

if the number

5

is selected, and

$10

if the number

6

is selected. She loses

$14

if

7

or

8

is selected.

2.) The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer,

80%

of planted seeds will germinate. Suppose the manufacturer is correct. If

6

seeds planted with the fertilizer are randomly selected, what is the probability that more than

3

of them germinate?