NDA2018MathematicsProbabilityActual
Let A, B and C be three mutually exclusive and exhaustive events associated with a random experiment. If P ( B )=1.5 P ( A ) and P ( C )=0.5 P ( B ) , then P ( A 0 is equal to
Options
- A3/4
- B4/13
- C2/3
- D1/2
Correct answer
B. 4/13
Step-by-step solution
As A, B and C are mutually exclusive and exhaustive event. aligned & P ( ~A )+ P ( ~B )+ P ( C )=1 & P ( ~A )+ 3 2 P ( ~A )+ 1 2 3 2 P ( ~A )=1 & 13 4 P ( ~A )=1 & P ( ~A )= 4 13 aligned