Chapter 13.1, Problem 1CYP

To determine

To represent sample space for experiment where a coin is tossed & then a number cube is rolled.

Answer to Problem 1CYP

(i) Organized List

{H,1} , {H,2} , {H,3} , {H,4} , {H,5} , {H,6} , {T,1} , {T,2} , {T,3} , {T,4} , {T,5} , {T,6}

(ii) Table

Outcomes	1	2	3	4	5	6
Heads	H,1	H,2	H,3	H,4	H,5	H,6
Tails	T,1	T,2	T,3	T,4	T,5	T,6

(iii) Tree Diagram

  

Explanation of Solution

Given information: An event where a coin is tossed and then a number cube is rolled

Explanation-

When a coin is tossed, the possible outcomes are two i.e. Heads & Tails.

When a number cube is rolled, the possible outcomes are 6 i.e. 1,2,3,4,5,6.

Now, when these events happen simultaneously, the total outcomes will be 12 i.e. 6*2.

1. Sample Space using an organized list-
{H,1} , {H,2} , {H,3} , {H,4} , {H,5} , {H,6} , {T,1} , {T,2} , {T,3} , {T,4} , {T,5} , {T,6}
2. Sample Space using a table will be represented as-

Outcomes	1	2	3	4	5	6
Heads	H,1	H,2	H,3	H,4	H,5	H,6
Tails	T,1	T,2	T,3	T,4	T,5	T,6

3. Sample Space using atree diagram will be represented as-