NDA2021MathematicsProbabilityActual
If A and B are two events such that P(A)= 3 4 and P(B)= 5 8 , then consider the following statements : 1. The minimum value of P(A B) is 3 4 . 2. The maximum value of P(A B) is 5 8 . Which of the above statements is/are correct?
Options
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Correct answer
C. Both 1 and 2
Step-by-step solution
aligned & P(A)= 3 4 and P(B)= 5 8 & P(A B)=P(A)+P(B)-P(A B) aligned P(A B) is when P(A B) is i.e. 5 8 P(A B)_ = 3 4 + 5 8 - 5 8 = 3 4 Hence, both (1) and (2) are correct.