Chapter 13.1, Problem 24PPS

To determine

To draw tree diagram

Answer to Problem 24PPS

  

Explanation of Solution

Given information: A spinner

Explanation-

On rotating the spinner,

1. if result is red, a coin is tossed.
2. if result is yellow, a dot cube is rolled.
3. if result is green, a number cube is rolled.
4. if result is blue, another spinner is rolled.

The tree diagram for the experiment will be shown as-

  

To determine

To draw venn diagram

Answer to Problem 24PPS

  

Explanation of Solution

Given information: A spinner

Explanation-

As all the four outcomes are not dependent on each other, there will be no intersection of the venn diagram circles. All outcomes will be included in each respective circle as they cannot occur in any other circle.

The venn diagram for the experiment will be shown as-

  

(c )

To determine

To determine number of outcomes

Answer to Problem 24PPS

20

Explanation of Solution

Given information: A spinner

Explanation-

The total number of outcomes will be the sum of possible outcomes of all the four events.

1. For Coin Toss-2
2. For Number Cube-6
3. For Color Cube-6
4. For Spinner-6

Hence, the total number of outcomes will be $6+6+6+2=20$ outcomes.

(d)

To determine

To determine if fundamental counting of principle can be applied

Answer to Problem 24PPS

No

Explanation of Solution

Given information: A spinner

Explanation-

The Fundamental Counting Principle relies on independent outcomes. As in the given events, each situation is depend on the previous situation, the number of outcomes cannot be multiplied for each stage. To find possible outcomes , we will have to add at each stage.