JEE Main Probability & Statistics — practice questions
16 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice JEE Main Probability & Statistics in the app →From a standard deck of 52 playing cards, what is the probability of drawing a heart?When a single die is thrown once, the sample space isFor any two events $A$ and $B$, the probability that exactly one of them occurs isIf $A$ and $B$ are mutually exclusive events, then the addition theorem reduces toIn a binomial setting with $n$ independent Bernoulli trials, probability of success $p$, and failure probabiliA sequence of trials is called Bernoulli trials if the trials areWhich formula correctly gives the variance of a discrete random variable $X$?For a discrete random variable $X$ taking values $x_i$ with probabilities $p_i$, the mean $E(X)$ is given byBayes' theorem is primarily used toLet $E_1,E_2,\ldots,E_n$ be mutually exclusive cases that cover the sample space. According to the theorem of Events $A$ and $B$ are independent. If $P(A)=0.3$ and $P(B)=0.5$, what is $P(A\cap B)$?If $P(A)=0.5$ and $P(B/A)=0.4$, then by the multiplication theorem, $P(A\cap B)$ equalsWhich property of conditional probability is correct?If events $A$ and $B$ satisfy $P(B)\neq 0$, which expression correctly defines the conditional probability of For two events $A$ and $B$, which formula correctly gives the probability of $A\cup B$?
![](https://qallery.aThe number of positive integral solutions of $x_1+x_2+\cdots+x_r=n$ is