Two persons each make a single throw with a die. The probability they get equal value is ${p_1}$. Four persons each make a single throw and probability of three being equal is ${p_2}$, then
${p_1} = {p_2}$
${p_1} < {p_2}$
${p_1} > {p_2}$
None of these
The probability of drawing a white ball from a bag containing $3$ black balls and $4$ white balls, is
Let $\Omega$ be the sample space and $A \subseteq \Omega$ be an event. Given below are two statements :
$(S1)$ : If $P ( A )=0$, then $A =\phi$
$( S 2)$ : If $P ( A )=$, then $A =\Omega$
Then
The event $A$ is independent of itself if and only if $P(A) = $
The probability of choosing at random a number that is divisible by $6$ or $8$ from among $1$ to $90$ is equal to
Two dice are thrown simultaneously. The probability of getting the sum $2$ or $8$ or $12$ is