Probability

JEE Main · Mathematics · 9 past questions

These are the board's own papers. 177 more board questions reprinted in the books we use in class are for signed-in students: sign in.

1. Q1 2026 2 Apr Shift 1

   Let $a, b, c \in \{1, 2, 3, 4\}$. If the probability that $ax^2+2\sqrt{2}\,bx+c>0$ for all $x\in\mathbf{R}$…

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2. Q2 2026 2 Apr Shift 2

   A man throws a fair coin repeatedly. He gets 10 points for each head he throws and 5 points for each tail he…

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3. Q3 2026 4 Apr Shift 1

   A coin is tossed 8 times. If the probability that exactly 4 heads appear in the first six tosses and exactly…

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4. Q4 2026 4 Apr Shift 2

   From a month of 31 days, 3 different dates are selected at random. If the probability that these dates are in…

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5. Q5 2026 5 Apr Shift 1

   A letter is known to have arrived by post either from KANPUR or from ANANTPUR. On the envelope just two…

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6. Q6 2026 5 Apr Shift 2

   The probabilities that players A and B of a team are selected for the captaincy for a tournament are 0.6 and…

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7. Q7 2026 6 Apr Shift 1

   A bag contains $(N+1)$ coins — $N$ fair coins, and one coin with 'Head' on both sides. A coin is selected at…

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8. Q8 2026 6 Apr Shift 2

   A bag contains 6 blue and 6 green balls. Pairs of balls are drawn without replacement until the bag is empty.…

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9. Q9 2026 8 Apr Shift 2

   A candidate has to go to the examination centre to appear in an examination. The candidate uses only one…

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