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There are two horses in A and B for a race. The probability of A winning is thrice that of B. If one of the horses to win the probability of A winning is
- a)1/4
- b)3/4
- c)2/3
- d)1/3
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
There are two horses in A and B for a race. The probability of A winni...
Preliminary Analysis:
Let's assume that the probability of horse A winning is x. Since the probability of horse A winning is thrice that of horse B, the probability of horse B winning is x/3.
Calculation:
The sum of the probabilities of horse A winning and horse B winning should equal 1, as one of the horses must win the race. Therefore, we can write the following equation:
x + x/3 = 1
Solving the Equation:
To solve the equation, we first need to eliminate the fraction by multiplying through by 3:
3x + x = 3
Combining like terms:
4x = 3
Dividing both sides by 4:
x = 3/4
Interpreting the Result:
The value of x represents the probability of horse A winning the race. Since the question asks for the probability of horse A winning, the answer is 3/4, which corresponds to option B.
Let's assume that the probability of horse A winning is x. Since the probability of horse A winning is thrice that of horse B, the probability of horse B winning is x/3.
Calculation:
The sum of the probabilities of horse A winning and horse B winning should equal 1, as one of the horses must win the race. Therefore, we can write the following equation:
x + x/3 = 1
Solving the Equation:
To solve the equation, we first need to eliminate the fraction by multiplying through by 3:
3x + x = 3
Combining like terms:
4x = 3
Dividing both sides by 4:
x = 3/4
Interpreting the Result:
The value of x represents the probability of horse A winning the race. Since the question asks for the probability of horse A winning, the answer is 3/4, which corresponds to option B.
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There are two horses in A and B for a race. The probability of A winning is thrice that of B. If one of the horses to win the probability of A winning isa)1/4b)3/4c)2/3d)1/3Correct answer is option 'B'. Can you explain this answer?
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