Let \( E, F \) and \( G \) be three events having probabilities \( P(E)= \) \( 1 / 8, P(F)=1 / 6... VIDEO
Let \( E, F \) and \( G \) be three events having probabilities \( P(E)= \) \( 1 / 8, P(F)=1 / 6 \) and \( P(G)=1 / 4 \), and \( P(E \cap F \cap G)=1 / 10 \). For any event \( H \), if \( H^{c} \) denotes its complement, then which of the following statements is(are) TRUE?
(a) \( P\left(E \cap F \cap G^{c}\right) \leq 1 / 40 \)
(b) \( P\left(E^{c} \cap F \cap G\right) \leq 1 / 15 \)
(c) \( P(E \cap F \cap G) \leq 13 / 24 \)
(d) \( P\left(E^{c} \cap F^{c} \cap G^{c}\right) \leq 5 / 12 \)
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