A student has 60% chance of passing in English and 54% chance of passing in both English and Mathematics. What is the percentage probability that he will fail in Mathematics?
Reviewed by Dalvoy
UPSC Civil Services preparation
- A12
- B36
- C4
- D10Correct
Explanation
To find the probability of failing in Mathematics, we use the rule of conditional probability. We are given the probability of passing English is 60 percent and the probability of passing both English and Mathematics is 54 percent.
The probability of passing Mathematics, given that the student has passed English, is calculated by dividing the probability of passing both subjects by the probability of passing English. This is 54 divided by 60, which equals 0.9 or 90 percent.
Since the probability of passing Mathematics is 90 percent, the probability of failing Mathematics is 100 percent minus 90 percent, which equals 10 percent. Therefore, option D is correct.
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