Q:

A toy manufacturer inspects boxes of toys before shipment. Each box contains 7 toys. The inspection procedure consists of randomly selecting three toys from the box. If one or more of the toys are defective, the box is not shipped. Suppose that a given box has two defective toys. What is the probability that it will be shipped? a) 0.0486 b) 0.2857 c) 0.1429 d) 0.7143 e) 0.3088"

Accepted Solution

A:
Answer:B-) 0.2857Step-by-step explanation:So to be shipped all of the toys, toys need to be not faulty. This means that we will think about the undefective ones.We have :2 defective toys5 undefective toysTo be shipped all of the toys must be undefective.We will have to choose undefective ones from all the toys, 3 times: Undefective ones      Undefective ones     Undefective ones--------------------------- . ----------------------------- .  --------------------------       All the toys                 All the toys                 All the toys> 5/7 . 4/6 . 3/5>0.28571428571So, the answer is B-) 0.2857I hope it will be understood.If I have any inaccuracies please let me know.Have a nice day and never stop questioning!