Latest probabality questions Aptitude Question SOLUTION: The probabilities that a student pass in Mathematics, Physics and Chemistry are $m$, $p$, $c$ respectively. Of these subjects the student has a 75 % chance of passing in at least o

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(#M40155189) PROBABALITY QUESTION Numerical Ability question Keep an EYE

The probabilities that a student pass in Mathematics, Physics and Chemistry are $m$, $p$, $c$ 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 40 % chance of passing in exactly two.

Which of the following relations are true

Asked In probabality questions kirethi (9 years ago)

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sHANE  (8 years ago)

1 - (1 - m) (1 - p) (1 - c) = 0.75 -------(1)
(1 - m)pc + (1 - p)mc + (1 - c)mp + mpc = 0.5 -------(2)
(1 - m)pc + (1 - p)mc + (1 - c)mp = 0.4 -------(3)

From last 2 equations, we can derive mpc = 0.1

After simplifying equation 1, we get.
p + c + m - (mp + mc + pc) + mpc = 0.75
p + c + m - (mp + mc + pc) = 0.65 -------(4)

After simplifying equation 3, we get
pc + mc + mp - 3mpc = 0.4

Putting value of mpc, we get
pc + mc + mp = 0.7

After putting above value in equation 4, we get
p + c + m - 0.7 = 0.65
p + c + m = 1.35 = 27/20

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