Let E, F and G be three events having probabilities P(E)=\frac{1}{8}, P(F)=\frac{1}{6} and P(G)=\frac{1}{4}, and let P(E \cap F \cap G)=\frac{1}{10} For any event H, if {H}^{ {C}} denotes its complement, then which of the following statements is(are) TRUE? [JEE Adv 2021 P1]

P(E \cap F \cap G^{C}) \leq \frac{1}{40}

P(E^{C} \cap F \cap G) \leq \frac{1}{15}

P(E \cup F \cup G) \leq \frac{13}{24}

P(E^{C} \cap F^{C} \cap G^{C}) \leq \frac{5}{12}

Probability

Section: Mathematics

Question : 16 of 52

Marks: +1, -0

Let E,F and G be three events having probabilities P(E)=‌

,P(F)=‌

and P(G)=‌

, and let P(E∩F∩G)=‌

For any event H, if HC denotes its complement, then which of the following statements is(are) TRUE?

[JEE Adv 2021 P1]

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