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The odds in favour of an event are 6 : 5. The probability of occurrence of this event:
- a)6/11
- b)5/11
- c)3/11
- d)2/11
Correct answer is option 'A'. Can you explain this answer?
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The odds in favour of an event are 6 : 5. The probability of occurrenc...
The odds in favor of an event are 6:5.
The odds in favor of an event represent the ratio of the number of favorable outcomes to the number of unfavorable outcomes. In this case, the odds are given as 6:5, which means that for every 6 favorable outcomes, there are 5 unfavorable outcomes.
Probability of occurrence of the event:
The probability of an event occurring is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, we need to determine the probability of the event occurring.
To find the probability, we can use the formula:
Probability = Number of favorable outcomes / Total number of possible outcomes
Calculating the probability:
Let's assume that the number of favorable outcomes is 6x and the number of unfavorable outcomes is 5x. Therefore, the total number of possible outcomes would be 6x + 5x = 11x.
Now, we can substitute these values into the probability formula:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 6x / 11x
Simplifying the expression by canceling out the common factor of x, we get:
Probability = 6 / 11
Therefore, the probability of the event occurring is 6/11.
Conclusion:
The correct answer is option A) 6/11. This is because the probability of the event occurring is given by the ratio of the number of favorable outcomes (6) to the total number of possible outcomes (11), which simplifies to 6/11.
The odds in favor of an event represent the ratio of the number of favorable outcomes to the number of unfavorable outcomes. In this case, the odds are given as 6:5, which means that for every 6 favorable outcomes, there are 5 unfavorable outcomes.
Probability of occurrence of the event:
The probability of an event occurring is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, we need to determine the probability of the event occurring.
To find the probability, we can use the formula:
Probability = Number of favorable outcomes / Total number of possible outcomes
Calculating the probability:
Let's assume that the number of favorable outcomes is 6x and the number of unfavorable outcomes is 5x. Therefore, the total number of possible outcomes would be 6x + 5x = 11x.
Now, we can substitute these values into the probability formula:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 6x / 11x
Simplifying the expression by canceling out the common factor of x, we get:
Probability = 6 / 11
Therefore, the probability of the event occurring is 6/11.
Conclusion:
The correct answer is option A) 6/11. This is because the probability of the event occurring is given by the ratio of the number of favorable outcomes (6) to the total number of possible outcomes (11), which simplifies to 6/11.
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The odds in favour of an event are 6 : 5. The probability of occurrence of this event:a)6/11b)5/11c)3/11d)2/11Correct answer is option 'A'. Can you explain this answer?
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