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JEE ADVANCE 2011
paper 2
Multiple correct answers - Select all that apply
Question
Let E and F be two independent events. The probability that exactly one of them occurs is $\frac{11}{25}$ and the probability of none of them occurring is $\frac{2}{25}$. If $\mathrm{P}(\mathrm{T})$ denotes the probability of occurrence of the event T , then
Select ALL correct options:
A
$\mathrm{P}(\mathrm{E})=\frac{4}{5}, \mathrm{P}(\mathrm{F})=\frac{3}{5}$
B
$\mathrm{P}(\mathrm{E})=\frac{1}{5}, \mathrm{P}(\mathrm{F})=\frac{2}{5}$
C
$\mathrm{P}(\mathrm{E})=\frac{2}{5}, \mathrm{P}(\mathrm{F})=\frac{1}{5}$
D
$P(E)=\frac{3}{5}, P(F)=\frac{4}{5}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
⚠ Partially correct. Some answers are missing.
Solution
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Mathematics
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