COMEDK2024MathematicsProbabilityActual
There are some baskets. The chances of picking a loaded basket and choosing a red coloured one is 0.2. For every 100 tries to pick one basket, 60 times a basket is either loaded or red in colour. What is the sum of the probabilities of choosing an empty basket and choosing not a red coloured one?
Options
- A1.2
- B0.8
- C1.3
- D0.4
Correct answer
A. 1.2
Step-by-step solution
Let L be the event of picking a loaded basket and R be the event of picking a red-coloured basket. Given: P(L R) = 0.2 and P(L R) = 60 100 = 0.6 P(L) + P(R) = P(L R) + P(L R) = 0.6 + 0.2 = 0.8 P(L') + P(R') = (1 - P(L)) + (1 - P(R)) = 2 - (P(L) + P(R)) = 2 - 0.8 = 1.2