Probability I, Solved Paper Question: Jee 1 year MATH, Math

Four fair dice and, each having six faces numbered 1, 2,3,4,5 and 6, are rolled simultaneously. The probability that shows a number appearing on one of and is

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JEE Advanced 2012

Four letters, to each of which corresponds an envelope are placed in the envelopes at random. The probability that all the letters are not placed in the right envelopes is

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JEE Mains 0

An unbiased coin is tossed 10 times, if the probability of not getting two heads consecutively is

\frac{x}{y}

, then

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JEE Advanced 0

4 distinct integers are picked at random form { 0, 1, 2, 3, 4, 5, 6 }. The probability that among those selected the second smallest is 3 is

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JEE Advanced 0

Which of the following statement(s) is/are true?

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JEE Advanced 0

There are 5 boys and 3 girls in a class. The teacher selects two students from the class at random. Which of the following statements is (are) CORRECT?

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JEE Advanced 0

Three distinct integers are to be selected in a Lottery. The machine shows integers from 0 to 20. you win the lottery when the Sum of the three integers is divisible by 5. The probability of winning is

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JEE Advanced 0

If m be a random integer chosen in the closed interval [4, 10], then the probability that the equation mx² − (m + 1)x + 2 = 0 have real roots is

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JEE Mains 0

If a and b are chosen randomly from the set consisting of numbers 1,2,3,4,5,6 with replacement. Find the probability that

\lim_{x \to 0} {(\frac{a^{x} + b^{x}}{2})}^{\frac{2}{x}} = 5

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JEE Advanced 0

A, B, C, D, E and F are running a 200m race. The probability that B finishes the race before A is

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JEE Mains 0

Melvin and joy decided to meet on the day of JEE results outside the Meritnation office between 5pm and 6pm.The first one to arrive waits for 15 minutes and then leave. Assuming that each is independently equally likely to arrive at any time during the hour (between 5pm and 6pm). Find the probability that they meet.

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JEE Advanced 0

Three numbers are chosen at random, without replacement, from the set {1, 2, …, 14}. What is the probability that they form an AP when arranged in the same order?

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JEE Mains 0

The probability that a student passes in Mathematics , Physics and Chemistry are m , p and c respectively . Of these subjects , the students has 75% chance of passing in atleast one , 50% chance of passing in atleast two and a 40% chance of passing in exactly two. The value of
pmc =

\frac{x}{20}

. Find the value of x

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JEE Advanced 0

24 balls are placed into 4 boxes such that no box remains empty. Then the probability that each box gets even number of balls is

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JEE Advanced 0

If four squares are chosen at random on a chess board. If the probability that they lie on a diagonal line is

\frac{λ}{^{64} C_{4}}

. Then λ is ABC, Where A, B, &C are single digit integers. Find the value of A

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JEE Advanced 0