KCET2022MathematicsProbability
A pandemic has been spreading all over the world. The probabilities are 0.7 that there will be a lockdown, 0.8 that the pandemic is controlled in one month if there is a lockdown and 0.3 that it is controlled in one month if there is no lockdown. The probability that the pandemic will be controlled in one month is
Options
- A0.65
- B1.65
- C1.46
- D0.46
Correct answer
A. 0.65
Step-by-step solution
Let event E₁= There is a lockdown, Event E₂= There is no lockdown, and A= Pandemic is controlled in one month Now, P (E₁ )=0.7, P (E₂ )=0.3 , P (A E₁ )=0.8 and P (A E₂ )=0.3P(A)=0.7(0.8)+0.3(0.3)=0.56+0.09=0.65