Quantitative Methods Q163

0. An analyst is analyzing the prospects of survival of ShopKart, an ecommerce retailer over the next six months. The retailer’s survival depends on the growth in customer base. The analyst assigns probabilities to three possible scenarios and estimates the probability of closing down for each of them.
ScenarioProbability of scenarioProbability of closing down
Decrease in customer base 30%60%
Maintaining the customer base 30%50%30%
Increase in customer base
 
20%10%

  • Option : B
  • Explanation : Using the total probability rule, the unconditional probability of closing down is given by: (0.3) (0.6) + (0.5) (0.3) + (0.2) (0.1) = 0.35 The probability that ShopKart will not close down is, 1 – 0.35 = 0.65 = 65%
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