Let S = E₁, E₂,........., E₈ be a sample space of a random experiment such that P(E n) = n/36 for every n = 1, 2,........, 8. Then the number of elements in the set A S:P(A) ≥ 4/5 is _ _ _ _ _ _.

Statistics and Probability: JEE Main 2022 Mathematics question

JEE Main 2022 · 27 Jun, Evening shift · Q44

JEE Main 202227 Jun, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

Let S = {E₁, E₂, ........., E₈} be a sample space of a random experiment such that

P({E_n}) = {n \over {36}}

for every n = 1, 2, ........, 8. Then the number of elements in the set

\left\{ {A \subseteq S:P(A) \ge {4 \over 5}} \right\}

is ___________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 · 27 Jun, Evening shift · Q44

JEE Main 202227 Jun, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

Let S = {E₁, E₂, ........., E₈} be a sample space of a random experiment such that

P({E_n}) = {n \over {36}}

for every n = 1, 2, ........, 8. Then the number of elements in the set

\left\{ {A \subseteq S:P(A) \ge {4 \over 5}} \right\}

is ___________.

Your answerType your answer. Integers and decimals are accepted.