If A and B are two events such that PA - 1-2 and PB- 2-3- then which of the following is correct-

The correct options are A P(A∪ B) ≥2/3 B P(A∩ B^ )≤1/3 ...

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Byju's Answer

Standard XII

Mathematics

Bayes' Theorem

If A and B ar...

Question

If A and B are two events such that P(A) = $\frac{1}{2}$ and P(B)= $\frac{2}{3}$ , then which of the following is correct?

P (A \cup B) \geq \frac{2}{3}

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P (A \cap B^{-}) \leq \frac{1}{3}

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Both (A) &(B)

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Only A

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Solution

The correct options are
A $P (A \cup B) \geq \frac{2}{3}$
B $P (A \cap B^{-}) \leq \frac{1}{3}$

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Q. If

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If A and B are two events such that P(A) =12 and P(B)=23, then which of the following is correct?

The correct options are A P(A∪B)≥23 B P(A∩B−)≤13

If A and B are two events such that P(A) = $\frac{1}{2}$ and P(B)= $\frac{2}{3}$ , then which of the following is correct?

The correct options are
A $P (A \cup B) \geq \frac{2}{3}$
B $P (A \cap B^{-}) \leq \frac{1}{3}$