LET ME KNOW THE DETAILED PROCESS OF SOLVING THIS QUESTIONS I

LET ME KNOW THE DETAILED PROCESS OF SOLVING THIS QUESTIONS

I KNOW THE ANSWER BUT DON\'T KNOW WHY

13. Bob Smith watches the television talk shows on Wednesday morning. After each show he notes whether it is dull, offensive, or good. He turns off the TV after seeing 1 dull show. 1 offensive show or if 3 shows have been watched altogether. How many outcomes are possible?

Solution

The total number of possible shows setups would be : 3³ = 27

However, we stop after seeing one dull and one offensive show or three shows in all.

So,

possible outcomes are:

The total number of distinct outcomes = 23

So, B is the answer.

Hope this helps. Ask if you have doubts.

				Count
1	Good	Good	Good	1
2	Good	Good	Offensive	1
3	Good	Good	Dull	1
4	Good	Offensive	Good	1
5	Good	Offensive	Offensive	1
6	Good	Offensive	Dull	1
7	Good	Dull	Good	1
8	Good	Dull	Offensive	1
9	Good	Dull	Dull	1
10	Offensive	Good	Good	1
11	Offensive	Good	Offensive	1
12	Offensive	Good	Dull	1
13	Offensive	Offensive	Good	1
14	Offensive	Offensive	Offensive	1
15	Offensive	Offensive	Dull	1
16	Offensive	Dull	Good	1
17	Offensive	Dull	Offensive	0
18	Offensive	Dull	Dull	0
19	Dull	Good	Good	1
20	Dull	Good	Offensive	1
21	Dull	Good	Dull	1
22	Dull	Offensive	Good	1
23	Dull	Offensive	Offensive	0
24	Dull	Offensive	Dull	0
25	Dull	Dull	Good	1
26	Dull	Dull	Offensive	1
27	Dull	Dull	Dull	1