Probability5 questions5 PYQ

Probability — JEE Maths Practice Questions & Solutions

5 questions on Probability with full step-by-step solutions, including past-year (PYQ) problems. Free to practice.

mediumPYQ · JEE Main 2026
Players AA and BB are selected as captain with probabilities 0.60.6 and 0.40.4 respectively. If AA is captain, the team wins with probability 0.80.8; if BB is captain, the team wins with probability 0.70.7. Then the probability that the team wins is:
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mediumPYQ · JEE Main 2026
A letter is known to have arrived either from KANPUR or from ANANTPUR. On the envelope just two consecutive letters "AN" are visible. The probability that the letter came from ANANTPUR is
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mediumPYQ · JEE Main 2026
A coin is tossed 88 times. If the probability that exactly 44 heads appear in the first six tosses and exactly 33 heads appear in the last five tosses is pp, then 96p96p is equal to
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mediumPYQ · JEE Main 2026
From a month of 31 days, 3 different dates are selected at random. If the probability that these dates are in an increasing A.P. is ab\dfrac{a}{b}, where a,b∈Na,b\in\mathbb{N} and gcd⁡(a,b)=1\gcd(a,b)=1, then a+ba+b is equal to
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mediumPYQ · JEE Main 2026
Let a,b,c∈{1,2,3,4}a,b,c\in\{1,2,3,4\}. If the probability that ax2+22 bx+c>0ax^2+2\sqrt2\,bx+c>0 for all x∈Rx\in\mathbb{R} is mn\dfrac{m}{n}, gcd⁡(m,n)=1\gcd(m,n)=1, then m+nm+n is equal to
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