Probability

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Q JEE MAIN 2025

A board has 16 square as shown in the figures : Out of these 16 squares, two squares are chosen at random. The probability that...

JEE Main Mathematics Easy

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Q JEE MAIN 2025

Two number ${k_1}$ and ${k_2}$ are randomly chosen from the set of natural numbers. Then, the probability that the value of $...

JEE Main Mathematics Medium

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Q JEE MAIN 2025

A and B alternately throw a pair of dice. A wins if he throws a sum of 5 before B throws a sum of 8,...

JEE Main Mathematics Easy

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Q JEE MAIN 2025

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...

JEE Main Mathematics Easy

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Q JEE MAIN 2025

Two balls are selected at random one by one without replacement from a bag containing 4 white and 6 black balls. If the probability that...

JEE Main Mathematics Easy

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Q JEE MAIN 2025

A coin is tossed three times. Let $X$ denote the number of times a tail follows a head. If $\mu$ and $\sigma^2$ denote the mean...

JEE Main Mathematics Medium

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Q JEE MAIN 2025

If $A$ and $B$ are two events such that $P(A \cap B)=0.1$, and $P(A \mid B)$ and $P(B \mid A)$ are the roots of the...

JEE Main Mathematics Easy

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