InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
Whenever horses `a , b , c`race together, their respective probabilities of winning the race are0.3, 0.5, and 0.2 respectively. If they race three times, the pr4obability that the same horse wins all the three races, and the probability that `a , b ,c`each wins one race are, respectively.`8//50 ,9//50`b. `16//100 ,3//100`c. `12//50 , 15//50`d. `10//50 ,8//50`A. `8//50,9//50`B. `16//100,3//100`C. `12//50,15//50`D. `10//50,8//50` |
|
Answer» Correct Answer - A `P(a)=0.3P(b)=0.5,P(c)=0.2.` Hence, a,b c are exhaustive. P(same horse wins all the three reces) =P(aaa or bbb or ccc) `=(0.3)^(3)+(0.5)^(3)+(0.2)^(3)` `=(27=125+8)/(1000)=(160)/(1000)=4/25` P(each horse wins exactly one race) =P (abc or cab or bca or bac or cab or cba) `=0.3xx0.5xx0.2xx6=0.18=9/50` |
|