JEE Advance - Mathematics (1999 - No. 7)
The probabilities that a student passes in Mathematics, Physics and Chemistry are $$m, p$$ and $$c,$$ respectively. Of 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?
$$p+m+c=19/20$$
$$p+m+c=27/20$$
$$pmc=1/10$$
$$pmc=1/4$$