New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Probability question

2014 · Shift 0 · Q35

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

PYQ Library
JEE Main
Mathematics
Probability
2014 · Shift 0 · Q35

Probability question

2014 · Shift 0 · Q35

JEE MainMathematicsProbabilityMCQ+4 / −1

Let

A

and

B

be two events such that

P\left( {\overline {A \cup B} } \right) = {1 \over 6},\,P\left( { {A \cap B} } \right) = {1 \over 4}

and

P\left( {\overline A } \right) = {1 \over 4},

where

\overline A

stands for the complement of the event

A

. Then the events

A

and

B

are :

A
independent but not equally likely.
B
independent and equally likely.
C
mutually exclusive and independent.
D
equally likely but not independent.

More from Probability

Three numbers are chosen at random without replacement from ${1, 2, 3, ..8} .$ The probability that their minimum is $3,$ given that their maximum is $6,$ is :2012 · MCQ
If $C$ and $D$ are two events such that $C \subset D$ and $P (D) e 0,$ then the correct statement among the following is :2011 · MCQ
An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without replacement from the urn. The probability that the three balls have different colours is :2010 · MCQ
Four numbers are chosen at random (without replacement) from the set ${1, 2, 3, ....20} .$ Statement - 1: The probability that the chosen numbers when arranged in some order will form an AP is $\frac{1}{85} .$ Statement -…2010 · MCQ
One ticket is selected at random from $50$ tickets numbered $00, 01, 02, ...., 49.$ Then the probability that the sum of the digits on the selected ticket is $8$ , given that the product of these digits is zer, equals :2009 · MCQ
A die is thrown. Let $A$ be the event that the number obtained is greater than $3.$ Let $B$ be the event that the number obtained is less than $5.$ Then $P (A \cup B)$ is :2008 · MCQ
It is given that the events $A$ and $B$ are such that $P (A) = \frac{1}{4}, P (A ∣ B) = \frac{1}{2}$ and $P (B ∣ A) = \frac{2}{3} .$ Then $P (B)$ is :2008 · MCQ
Two aeroplanes $I$ and $I I$ bomb a target in succession. The probabilities of $I$ and $I I$ scoring a hit correctly are $0.3$ and $0.2,$ respectively. The second plane will bomb only if the first misses…2007 · MCQ