WINK, Inc. follows a certain procedure that requires two tasks to be finished in

游客2024-01-14  26

问题 WINK, Inc. follows a certain procedure that requires two tasks to be finished independently in order for a job to be done. On any given day, there is a 7/8 probability that task 1 will be completed on time, and a 3/5 probability that task 2 will be completed on time. On a certain day, what is the probability that task 1 will be completed on time, but task 2 will not?

选项 A、 
B、 
C、 
D、 
E、 

答案 D

解析 Task 1 has a 7/8 probability of being completed on time, and task 2 has a 3/5 probability of being completed on time, which can also be expressed as a 2/5 probability of not being completed on time, which is what the problem asked for. Multiply the probabilities and we get which reduces to 7/20.
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