Question
Two balanced dice are thrown simultaneously. Find the probability that the sum of numbers on two dice is a multiple of $2$ or $3.$

Answer

$2$ or $3=\frac{2}{3}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

State the limitations of the cost of living index number.
If $p(x)=C .\left(\frac{2 x+1}{x-1}\right) x=2,3,4$, then find the value of constant $C$ such that $p(x)$ becomes a probability distribution.
Find the derivative of $y=1+\frac{1}{1+\frac{1}{x}}$ with respect to $x$.
A normal variable $X$ has the following probability density function :
$f(x) = \frac{1}{6 \sqrt{2 \pi}} e^{-\frac{1}{72}(x-100)^{2}}, – \infty < x < \infty $
For this distribution, obtain the estimated limits for the exact middle $50 \%$ of the observations.
From the following data construct the cost of living index number for workers:
It is given that index number of clothing is $224.1,$ index number for food is $3/2$ times the base year, the prices of fuel have increase by $220\%,$ the expenditure on rent for $2005$ has increased to $2200$ from ? $1000$ and the index number for miscellaneous items ha increased by $1.75$ times that of the base ye index number and the expenditure Incurred on these groups are $18\%, 40\%, 12\%, 20\%$ and $10\%$ respectively.
The distribution of a random variable X is $p(x)= K ^5 . P _{ x }, x=0,1,2,3,4,5$. Find constant K and mean of this distribution.
Find $f^{\prime}(x)$ if $f(x)=\left(x^{2}+3 x+4\right)^{7}$
Decide whether the function $y=x^{3}-3 x^{2}+7$ is increasing or decreasing at $x = 1$ and $x = 3.$
$X$ and $Y$ are two mutually dependent variables. $ \sum_{1}^{20}(x-32)=0, \sum_{1}^{20}(y-48)=0, \Sigma(x-32)^{2}=120, \Sigma(y-48)^{2}= $ $260 ; \Sigma(x-32)(y-48)=-78$ obtain the regression line of $Y$ on $X$.
If the following distribution is a probability distribution of variable $X$, then find constant $k . P(x)=\frac{6-|x-7|}{k} ; x=4,5,6,7,8,9,10$