New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Probability question

2021 · 25 Jul · Shift 1 · Q35

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

PYQ Library
JEE Main
Mathematics
Probability
2021 · 25 Jul · Shift 1 · Q35

Probability question

2021 · 25 Jul · Shift 1 · Q35

JEE MainMathematicsProbabilityMCQ+4 / −1

Let 9 distinct balls be distributed among 4 boxes, B1, B2, B3 and B4. If the probability than B3 contains exactly 3 balls is

k{\left( {{3 \over 4}} \right)^9}

then k lies in the set :

A
{x $\in$ R : |x $-$ 3| < 1}
B
{x $\in$ R : |x $-$ 2| $\le$ 1}
C
{x $\in$ R : |x $-$ 1| < 1}
D
{x $\in$ R : |x $-$ 5| $\le$ 1}

More from Probability

Let X be a random variable such that the probability function of a distribution is given by $P (X = 0) = \frac{1}{2}, P (X = j) = \frac{1}{3 ^{j}} (j = 1, 2, 3, ..., \infty)$ . Then the mean of the distribution and P(X is positive and even)…2021 · MCQ
A fair coin is tossed n-times such that the probability of getting at least one head is at least 0.9. Then the minimum value of n is .2021 · Numerical
Let A and B be independent events such that P(A) = p, P(B) = 2p. The largest value of p, for which P (exactly one of A, B occurs) = $\frac{5}{9}$ , is :2021 · MCQ
A fair die is tossed until six is obtained on it. Let x be the number of required tosses, then the conditional probability P(x $\geq$ 5 | x > 2) is :2021 · MCQ
Two fair dice are thrown. The numbers on them are taken as $λ$ and $μ$ , and a system of linear equations x + y + z = 5 x + 2y + 3z = $μ$ x + 3y + $λ$ z = 1 is constructed. If p is the probability that the system has a unique…2021 · MCQ
A seven digit number is formed using digits 3, 3, 4, 4, 4, 5, 5. The probability, that number so formed is divisible by 2, is :2021 · MCQ
When a certain biased die is rolled, a particular face occurs with probability $\frac{1}{6} - x$ and its opposite face occurs with probability $\frac{1}{6} + x$ . All other faces occur with probability $\frac{1}{6}$ . Note that opposite…2021 · MCQ
The probability distribution of random variable X is given by : Let p = P(1 < X < 4 | X < 3). If 5p = $λ$ K, then $λ$ equal to . Includes table2021 · Numerical