Chapter 5.1, Problem 14E

(a)

To determine

To explain how you would use each chance device to stimulate whether the light is red or green on a given day.

Explanation of Solution

To use each chance device to stimulate whether the light is red or green on a given day by a six sided die, we have,

Throw the six sided dice.

If the number of dots on the top side is $1\text{ or }2$ , then she gets a green light.

If the number of dots on the top side is $3,4,5\text{ or }6$ , then she gets no green light.

Thus, we know that, if the number of dots on the top side is $1\text{ or }2$ , then she gets a green light.

(b)

To determine

To explain how you would use each chance device to stimulate whether the light is red or green on a given day.

Explanation of Solution

To use each chance device to stimulate whether the light is red or green on a given day by Table D of random digits, we have,

Select a row from table D.

If the digit is a $1,2\text{ or }3$ , then she gets a green light.

If the digit is a $4,5,6,7,8\text{ or }9$ , then she gets no green light.

If the digit is zero, ignore the digit and move on to the next digit.

Thus, we know that, if the digit is a $1,2\text{ or }3$ , then she gets a green light.

(c)

To determine

To explain how you would use each chance device to simulate whether the light is red or green on a given day.

Explanation of Solution

To use each chance device to simulate whether the light is red or green on a given day by a standard deck of playing cards, we have,

Draw a card from a standard deck of cards.

In a deck of cards, you have an equal chance of selecting a suit (hearts, diamonds, spades or clubs)

If the card has the heart symbol, then she gets a green light.

If the card has a diamond or spade symbol, then she gets no green light.

If the card has a club symbol, then you need to draw another card.

Thus, we know that, if the card has the heart symbol, then she gets a green light.