JEE MAIN Probability Previous Year Questions (PYQs) – Page 8 of 8
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If the numbers appeared on the two throws of a fair six faced die are $\alpha$ and $\beta$, then the probability that $x^2 + \alpha x + \beta > 0$, for all $x \in \mathbb{R}$, is :
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If $A$ and $B$ are two events such that $P(A) = \tfrac{1}{3},\ P(B) = \tfrac{1}{5}$ and $P(A \cup B) = \tfrac{1}{2}$, then
$P(A \mid B') + P(B \mid A')$ is equal to :
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If 12 different balls are to be placed in 3 identical boxes, then the probability
that one of the boxes contains exactly 3 balls is :
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If three of the six vertices of a regular hexagon are chosen at random, then the probability that the triangle formed with these chosen vertices is equilateral is:
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One die has two faces marked 1, two faces marked 2, one face marked 3 and one face marked 4. Another die has one face marked 1, two faces marked 2, two faces marked 3 and one face marked 4. The probability that the sum of the numbers is 4 or 5 when both dice are thrown together is:
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The probability of forming a $12$-person committee from $4$ engineers, $2$ doctors, and $10$ professors containing at least $3$ engineers and at least $1$ doctor is
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Solution
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