Seven chits are numbered $1$ to $7$. Three are drawn one by one with replacement. The probability that the least number on any selected chit is $5$, is
Seven chits are numbered $1$ to $7$. Three are drawn one by one with replacement. The probability that the least number on any selected chit is $5$, is
- A
$1 - {\left( {\frac{2}{7}} \right)^4}$
- B
$4\,{\left( {\frac{2}{7}} \right)^4}$
- C
${\left( {\frac{3}{7}} \right)^3}$
- D
None of these
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Let $E$ and $F$ be two independent events. The probability that both $E$ and $F$ happen is $\frac{1}{12}$ and the probability that neither $E$ nor $F$ happens is $\frac{1}{2}$ , then a value of $\frac{{P(E)}}{{P\left( F \right)}}$ is
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- [JEE MAIN 2017]
The probability of getting number $5$ in throwing a dice is
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