The probabilities of three events A, B and C are given by P(A) = 0.6, P(B) = 0.4 and P(C) = 0.5. If P(A B) = 0.8, P(A C) = 0.3, P(A B C) = 0.2, P(B C) = β and P(A B C) = α, where 0.85 ≤ α ≤ 0.95, then β lies in the interval:

Statistics and Probability: JEE Main 2020 Mathematics question

JEE Main 2020 · 6 Sep, Evening shift · Q5019

JEE Main 20206 Sep, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

The probabilities of three events A, B and C are given by P(A) = 0.6, P(B) = 0.4 and P(C) = 0.5. If P(A

\cup

B) = 0.8, P(A

\cap

C) = 0.3, P(A

\cap

\cap

C) = 0.2, P(B

\cap

C) =

\beta

and P(A

\cup

\cup

C) =

\alpha

, where 0.85

\le \alpha \le

0.95, then

\beta

lies in the interval :

JEE Main 2020 · 6 Sep, Evening shift · Q5019

JEE Main 20206 Sep, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

The probabilities of three events A, B and C are given by P(A) = 0.6, P(B) = 0.4 and P(C) = 0.5. If P(A

\cup

B) = 0.8, P(A

\cap

C) = 0.3, P(A

\cap

\cap

C) = 0.2, P(B

\cap

C) =

\beta

and P(A

\cup

\cup

C) =

\alpha

, where 0.85

\le \alpha \le

0.95, then

\beta

lies in the interval :