$4\times 6\frac{1}{3}$ is equal to ___.

Q.

Question 25

Given, $4\times 6\frac{1}{3}$ is equal to ___.

Q. State TRUE or FALSE.
$(32{)}^{-\frac{2}{5}}÷(125{)}^{-\frac{2}{3}}$ is equal to $6\frac{1}{4}$

Q. $(\frac{61}{30}{)}^3-(\frac{5}{6}{)}^3-(\frac{6}{5}{)}^3$ is equal to

Q. The value of the product
$6^{\frac{1}{2}}\times 6^{\frac{1}{4}}\times 6^{\frac{1}{8}}\times 6^{\frac{1}{16}}\times ..$ up to infinite terms is

Q. Let a sample space be $S=\{{\omega }_1,{\omega }_2,...,{\omega }_6\}$.Which of the following assignments of probabilities to each outcome are valid$?$

Outcomes	${\omega }_1$	${\omega }_2$	${\omega }_3$	${\omega }_4$	${\omega }_5$	${\omega }_6$
$\left(a\right)$	$\frac{1}{6}$	$\frac{1}{6}$	$\frac{1}{6}$	$\frac{1}{6}$	$\frac{1}{6}$	$\frac{1}{6}$
$\left(b\right)$	$1$	$0$	$0$	$0$	$0$	$0$
$\left(c\right)$	$\frac{1}{8}$	$\frac{2}{3}$	$\frac{1}{3}$	$\frac{1}{3}$	$-\frac{1}{4}$	$-\frac{1}{3}$
$\left(d\right)$	$\frac{1}{12}$	$\frac{1}{12}$	$\frac{1}{6}$	$\frac{1}{6}$	$\frac{1}{6}$	$\frac{3}{2}$
$\left(e\right)$	$0.1$	$0.2$	$0.3$	$0.4$	$0.5$	$0.6$