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Two persons throw a pair of dice alternately till, one gets a total of 9 and wins the game. If A takes the first throw, then the probability that A wins the game is
- a)1/9
- b)8/17
- c)9/17
- d)9/10
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two persons throw a pair of dice alternately till, one gets a total o...
P( win ) = 4/36 = 1/9
P( loss ) = 8/9
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Two persons throw a pair of dice alternately till, one gets a total o...
Problem:
Two persons throw a pair of dice alternately until one gets a total of 9 and wins the game. If A takes the first throw, then the probability that A wins the game is:
Solution:
To find the probability that A wins the game, we need to consider all possible outcomes and calculate the probability of A winning in each case.
Possible Outcomes:
When throwing a pair of dice, there are a total of 36 possible outcomes. Each die has 6 faces, so the total number of outcomes is 6*6=36. The outcomes can be represented by the sum of the numbers on the two dice.
Possible Outcomes:
The possible outcomes when throwing a pair of dice can be represented by the following table:
| Die 1 | Die 2 | Total |
|-------|-------|-------|
| 1 | 1 | 2 |
| 1 | 2 | 3 |
| 1 | 3 | 4 |
| 1 | 4 | 5 |
| 1 | 5 | 6 |
| 1 | 6 | 7 |
| 2 | 1 | 3 |
| 2 | 2 | 4 |
| 2 | 3 | 5 |
| 2 | 4 | 6 |
| 2 | 5 | 7 |
| 2 | 6 | 8 |
| 3 | 1 | 4 |
| 3 | 2 | 5 |
| 3 | 3 | 6 |
| 3 | 4 | 7 |
| 3 | 5 | 8 |
| 3 | 6 | 9 |
| 4 | 1 | 5 |
| 4 | 2 | 6 |
| 4 | 3 | 7 |
| 4 | 4 | 8 |
| 4 | 5 | 9 |
| 4 | 6 | 10 |
| 5 | 1 | 6 |
| 5 | 2 | 7 |
| 5 | 3 | 8 |
| 5 | 4 | 9 |
| 5 | 5 | 10 |
| 5 | 6 | 11 |
| 6 | 1 | 7 |
| 6 | 2 | 8 |
| 6
Two persons throw a pair of dice alternately until one gets a total of 9 and wins the game. If A takes the first throw, then the probability that A wins the game is:
Solution:
To find the probability that A wins the game, we need to consider all possible outcomes and calculate the probability of A winning in each case.
Possible Outcomes:
When throwing a pair of dice, there are a total of 36 possible outcomes. Each die has 6 faces, so the total number of outcomes is 6*6=36. The outcomes can be represented by the sum of the numbers on the two dice.
Possible Outcomes:
The possible outcomes when throwing a pair of dice can be represented by the following table:
| Die 1 | Die 2 | Total |
|-------|-------|-------|
| 1 | 1 | 2 |
| 1 | 2 | 3 |
| 1 | 3 | 4 |
| 1 | 4 | 5 |
| 1 | 5 | 6 |
| 1 | 6 | 7 |
| 2 | 1 | 3 |
| 2 | 2 | 4 |
| 2 | 3 | 5 |
| 2 | 4 | 6 |
| 2 | 5 | 7 |
| 2 | 6 | 8 |
| 3 | 1 | 4 |
| 3 | 2 | 5 |
| 3 | 3 | 6 |
| 3 | 4 | 7 |
| 3 | 5 | 8 |
| 3 | 6 | 9 |
| 4 | 1 | 5 |
| 4 | 2 | 6 |
| 4 | 3 | 7 |
| 4 | 4 | 8 |
| 4 | 5 | 9 |
| 4 | 6 | 10 |
| 5 | 1 | 6 |
| 5 | 2 | 7 |
| 5 | 3 | 8 |
| 5 | 4 | 9 |
| 5 | 5 | 10 |
| 5 | 6 | 11 |
| 6 | 1 | 7 |
| 6 | 2 | 8 |
| 6
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Two persons throw a pair of dice alternately till, one gets a total of 9 and wins the game. If A takes the first throw, then the probability that A wins the game isa)1/9b)8/17c)9/17d)9/10Correct answer is option 'C'. Can you explain this answer?
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Two persons throw a pair of dice alternately till, one gets a total of 9 and wins the game. If A takes the first throw, then the probability that A wins the game isa)1/9b)8/17c)9/17d)9/10Correct answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Two persons throw a pair of dice alternately till, one gets a total of 9 and wins the game. If A takes the first throw, then the probability that A wins the game isa)1/9b)8/17c)9/17d)9/10Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two persons throw a pair of dice alternately till, one gets a total of 9 and wins the game. If A takes the first throw, then the probability that A wins the game isa)1/9b)8/17c)9/17d)9/10Correct answer is option 'C'. Can you explain this answer?.
Two persons throw a pair of dice alternately till, one gets a total of 9 and wins the game. If A takes the first throw, then the probability that A wins the game isa)1/9b)8/17c)9/17d)9/10Correct answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Two persons throw a pair of dice alternately till, one gets a total of 9 and wins the game. If A takes the first throw, then the probability that A wins the game isa)1/9b)8/17c)9/17d)9/10Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two persons throw a pair of dice alternately till, one gets a total of 9 and wins the game. If A takes the first throw, then the probability that A wins the game isa)1/9b)8/17c)9/17d)9/10Correct answer is option 'C'. Can you explain this answer?.
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Two persons throw a pair of dice alternately till, one gets a total of 9 and wins the game. If A takes the first throw, then the probability that A wins the game isa)1/9b)8/17c)9/17d)9/10Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Two persons throw a pair of dice alternately till, one gets a total of 9 and wins the game. If A takes the first throw, then the probability that A wins the game isa)1/9b)8/17c)9/17d)9/10Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Two persons throw a pair of dice alternately till, one gets a total of 9 and wins the game. If A takes the first throw, then the probability that A wins the game isa)1/9b)8/17c)9/17d)9/10Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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