GATE Electrical 2015 Set 1 | GA Question: 9

Question

The probabilities that a student passes in Mathematics, Physics, and Chemistry are $m, p,$ and $c$ respectively. Of these subjects, the student has $75\%$ 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. Following relations are drawn in $m, p,  c$:

1. $p + m + c = 27/20$
2. $p + m + c = 13/20$
3.  $(p) \times (m) \times (c) = 1/10$

• A. Only relation $I$ is true.
• B. Only relation $II$ is true.
• C. Relations $II$ and $III$ are true.
• D. Relations $I$ and $III$ are true.