TS EAMCET 2022 (Online) 19th July Morning Shift | Probability Question 91 | Mathematics

A random variable $X$ has the range $\{0,1,2, \ldots$.$\} . If P(X=r)=k(1+r) 3^{-r}$, for $r=0,1,2, \ldots$ where $k>0$ is a real number, then $P(X=0)+P(X=1)+P(X=2)=$

$4 / 9$

$8 / 9$

$2 / 3$

$1 / 3$

TS EAMCET 2022 (Online) 19th July Morning Shift

MCQ (Single Correct Answer)

-0

In an experiment a person gets success $\alpha$ times out of $\beta$ trails. If the experiment consists of $n$ trials, then the probability that he fails at least $(n-1)$ times is

$\frac{\alpha^{n-1}}{\beta^n}(n \beta-n \alpha+\alpha)$

$\frac{(\beta-\alpha)^{n-1}}{\beta^n}(n \alpha+\beta-\alpha)$

$\frac{\alpha^n}{\beta^n}(n \alpha+\beta)$

$\left(\frac{\beta-\alpha}{\beta}\right)^n(n \beta+n \alpha+1)$

TS EAMCET 2022 (Online) 18th July Evening Shift

MCQ (Single Correct Answer)

-0

When two dice are thrown, the probability of getting a prime number on die and a composite number on the other is

$1 / 3$

$1 / 4$

$1 / 2$

$1 / 6$

TS EAMCET 2022 (Online) 18th July Evening Shift

MCQ (Single Correct Answer)

-0

Let $A, B, C$ be three pairwise independent events of a random experiment. If $P(\bar{B} \cup \bar{C})=\frac{1}{2}, P(A)>0, P(B)=b$ and $P(C)=c, P((\bar{B} \cap \bar{C} \mid A)=$

$1+$ b - c

$2+b-c$

$\frac{3}{2}-b-c$

$2-b-c$

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