Statistics And Probability Question 528
Question: Three ships A, B, and C sail from England to India. If the ratio of their arriving safely are 2:5, 3:7, and 6:11, respectively, then the probability of all the ships for arriving safely is
Options:
A) 18/595
B) 6/17
C) 3/10
D) 2/7
Show Answer
Answer:
Correct Answer: A
Solution:
- [a] The ratios of the ships A, B, and C for arriving safely are 2:5, 3:7, and 6:11, respectively. Therefore, the probability of ship A for arriving safely is 2/(2+5)=2/7. Similarly, for B the probability is 3/(3+7)=3/10 and for C the probability is C=6/(6+11)=6/17. Therefore, the probability of all the ships for arriving safely is $ (2/4)\times (3/10)\times (6/17)=18/595. $
BETA
