NDA 2021
- Exam
- NDA
- Year
- 2021
- Subject
- Mathematics
- Chapter
- Probability
NDA 2021 · Mathematics · Probability
If A and B are two events such that P(A)=(3)/(4) and P(B)=(5)/(8) ,...
If and are two events such that and , then consider the following statements :
1. The minimum value of is .
2. The maximum value of is .
Which of the above statements is/are correct?
Options
- A only
- B only
- CBoth and
- DNeither nor
Correct answer
C. Both and
Step-by-step solution
P(A \cup B)\minP(A \cap B)\max\frac{5}{8}P(A \cup B)_{\min }=\frac{3}{4}+\frac{5}{8}-\frac{5}{8}=\frac{3}{4}$
Hence, both (1) and (2) are correct.