Recent questions tagged goclasses-da-dpp-day-50

A box contains $\mathbf{6}$ cards numbered $\mathbf{1}$ to $\mathbf{6}$ .You draw two cards without replacement. Let the first drawn number be $A$ and the second be $B$.D...

A random variable $N$ takes values $2,3,4$ with probabilities $1 / 4,~1 / 2,~1 / 4$ respectively. Given $N=n$, another random variable $Y$ is $\operatorname{Binomial}(n, ...

A box contains $\textbf{8}$ balls numbered $\textbf{1}$ to $\textbf{8}$.You draw three balls without replacement.Let the drawn numbers be $A, B, C$.Define$$X=\min (A, B, ...

A box contains $4$ red balls and $6$ blue balls.Two balls are drawn one after another without replacement.Define a random variable$X=(1$ if the two balls are of the same ...

A fair die is rolled twice. Let $X$ be the maximum of the two outcomes and $Y$ be the minimum of the two outcomes.Define$Z=3 X-2 Y.$Find $\mathrm{E}(\mathrm{Z})$.