Let \( E, F \) and \( G \) be three events having probabilities
\( P(E)=\dfrac{1}{8} \), \( P(F)=\dfrac{1}{6} \) and \( P(G)=\dfrac{1}{4} \) and let \( P(E \cap F \cap G) = \dfrac{1}{10} \).
For any event \( H \), \( H^{c} \) denotes its complement, then which of the following statements is(are) TRUE?
Three numbers are chosen at random, one after another with replacement, from the set \( S = \{ 1, 2, 3, \ldots, 100 \} \). Let \( p_1 \) be the probability that the maximum of chosen numbers is at least \( 81 \) and \( p_2 \) be the probability that the minimum of chosen numbers is at most \( 40 \).
The value of \( \frac{125}{4} \, p_2 \) is _______.
