XAT 2015 — QA & DI Question 3
MiscellaneousEasy
Ramesh plans to order a birthday gift for his friend from an online retailer. However, the birthday coincides with the festival season during which there is a huge demand for buying online goods and hence deliveries are often delayed. He estimates that the probability of receiving the gift, in time, from the retailers A, B, C and D would be 0.6, 0.8, 0.9 and 0.5 respectively.
Playing safe, he orders from all four retailers simultaneously. What would be the probability that his friend would receive the gift in time?
Answer & solution
- A
0.004
- B
0.006
- C
0.216
- D
0.994
0.996
Solution
Required Probability = 1 – P(receiving no gift)
P(receiving no gift) = 0.4 × 0.2 × 0.1 × 0.5
= 0.0040
1 – P(receiving no gift) = 0.996
Hence, option (e).