New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Probability question

2023 · 24 Jan · Shift 1 · Q30

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

PYQ Library
JEE Main
Mathematics
Probability
2023 · 24 Jan · Shift 1 · Q30

Probability question

2023 · 24 Jan · Shift 1 · Q30

JEE MainMathematicsProbabilityMCQ+4 / −1

Let

\Omega

be the sample space and

\mathrm{A \subseteq \Omega}

be an event. Given below are two statements : (S1) : If P(A) = 0, then A =

\phi

(S2) : If P(A) = 1, then A =

\Omega

Then :

A
both (S1) and (S2) are true
B
both (S1) and (S2) are false
C
only (S2) is true
D
only (S1) is true

More from Probability

Three urns A, B and C contain 4 red, 6 black; 5 red, 5 black; and $λ$ red, 4 black balls respectively. One of the urns is selected at random and a ball is drawn. If the ball drawn is red and the probability that it is drawn from urn…2023 · Numerical
Let M be the maximum value of the product of two positive integers when their sum is 66. Let the sample space $S = {x \in Z : x (66 - x) \geq \frac{5}{9} M}$ and the event $A = {x \in S : x is a multiple of 3}$ …2023 · MCQ
Let N be the sum of the numbers appeared when two fair dice are rolled and let the probability that $N - 2, 3 N, N + 2$ are in geometric progression be $\frac{k}{48}$ . Then the value of k is :2023 · MCQ
25% of the population are smokers. A smoker has 27 times more chances to develop lung cancer than a non smoker. A person is diagnosed with lung cancer and the probability that this person is a smoker is $\frac{k}{10}$ . Then the value of k…2023 · Numerical
Fifteen football players of a club-team are given 15 T-shirts with their names written on the backside. If the players pick up the T-shirts randomly, then the probability that at least 3 players pick the correct T-shirt is :2023 · MCQ
Let $S = {w_{1}, w_{2}, ......}$ be the sample space associated to a random experiment. Let $P (w_{n}) = \frac{P ( w _{n - 1} )}{2}, n \geq 2$ . Let $A = {2 k + 3 l : k, l \in N}$ and $B = {w_{n} : n \in A}$ . Then P(B) is equal to :2023 · MCQ
If an unbiased die, marked with $- 2, - 1, 0, 1, 2, 3$ on its faces, is thrown five times, then the probability that the product of the outcomes is positive, is :2023 · MCQ
A bag contains six balls of different colours. Two balls are drawn in succession with replacement. The probability that both the balls are of the same colour is p. Next four balls are drawn in succession with replacement and the…2023 · Numerical