The probabilities that a student passes in Mathematics, Physics and Chemistry are $m, p$ and $c$ respectively. On these subjects, the student has a $75\%$ chance of passing in at least one, a $50\%$ chance of passing in at least two and a $40\%$ chance of passing in exactly two. Which of the following relations are true
The probabilities that a student passes in Mathematics, Physics and Chemistry are $m, p$ and $c$ respectively. On these subjects, the student has a $75\%$ chance of passing in at least one, a $50\%$ chance of passing in at least two and a $40\%$ chance of passing in exactly two. Which of the following relations are true
- [IIT 1999]
- A
$p + m + c = \frac{{19}}{{20}}$
- B
$p + m + c = \frac{{27}}{{20}}$
- C
$pmc = \frac{1}{{10}}$
- D
$pmc = \frac{1}{4}$
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- [JEE MAIN 2021]