Section: Engineering Mathematics | Marks: 1
There are four cities, namely, πΆ1, πΆ2, πΆ3 and πΆ4. The cities are directly connected by four roads as shown in the picture given below, that is, πΆ1 is connected with πΆ2, πΆ2 is connected with πΆ3, πΆ3 is connected with πΆ4, and πΆ4 is connected with πΆ1. The probability of any road getting independently blocked is 1 3 . Let πΈ1 be the event of travelling from πΆ1 to πΆ3 via πΆ2 and πΈ2 be the event of travelling from πΆ1 to πΆ3 via πΆ4. Then, which of the following statements is correct ?
- A. π(πΈ1 βͺπΈ2) = 56 81β‘
- B. π(πΈ1 βͺπΈ2) = 8 9
- C. π(πΈ1|πΈ2) β π(πΈ1) = 4 9
- D. π(πΈ1 β©πΈ2) = 0
Answer: A. π(πΈ1 βͺπΈ2) = 56 81β‘