New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Probability question

2024 · 8 Apr · Shift 1 · Q40

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Probability
2024 · 8 Apr · Shift 1 · Q40

Probability question

2024 · 8 Apr · Shift 1 · Q40

JEE MainMathematicsProbabilityMCQ+4 / −1

Let the sum of two positive integers be 24 . If the probability, that their product is not less than

\frac{3}{4}

times their greatest possible product, is

\frac{m}{n}

, where

\operatorname{gcd}(m, n)=1

, then

n

-

m

equals

A
10
B
11
C
9
D
8

More from Probability

Three balls are drawn at random from a bag containing 5 blue and 4 yellow balls. Let the random variables $X$ and $Y$ respectively denote the number of blue and yellow balls. If $\overset{ˉ}{X}$ and $\overset{ˉ}{Y}$ are the means of $X$ and $Y$ …2024 · Numerical
There are three bags $X, Y$ and $Z$ . Bag $X$ contains 5 one-rupee coins and 4 five-rupee coins; Bag $Y$ contains 4 one-rupee coins and 5 five-rupee coins and Bag $Z$ contains 3 one-rupee coins and 6 five-rupee coins. A bag is selected at…2024 · MCQ
Let $a, b$ and $c$ denote the outcome of three independent rolls of a fair tetrahedral die, whose four faces are marked $1, 2, 3, 4$ . If the probability that $a x^{2} + b x + c = 0$ has all real roots is $\frac{m}{n}, gcd (m, n) = 1$ …2024 · Numerical
If an unbiased dice is rolled thrice, then the probability of getting a greater number in the $i^{th}$ roll than the number obtained in the $(i - 1)^{th}$ roll, $i = 2, 3$ , is equal to2024 · MCQ
A fair die is tossed repeatedly until a six is obtained. Let $X$ denote the number of tosses required and let $a = P (X = 3), b = P (X ⩾ 3)$ and $c = P (X ⩾ 6 ∣ X > 3)$ . Then $\frac{b + c}{a}$ is equal to .2024 · Numerical
An urn contains 6 white and 9 black balls. Two successive draws of 4 balls are made without replacement. The probability, that the first draw gives all white balls and the second draw gives all black balls, is :2024 · MCQ
A fair die is thrown until 2 appears. Then the probability, that 2 appears in even number of throws, is2024 · MCQ
An integer is chosen at random from the integers $1, 2, 3, \dots, 50$ . The probability that the chosen integer is a multiple of atleast one of 4, 6 and 7 is2024 · MCQ