Question

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"

Answer 1

Answer:

B-) 0.2857

Step-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 toys

5 undefective toys

To 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

>0.28571428571

So, the answer is B-) 0.2857

I hope it will be understood.

If I have any inaccuracies please let me know.

Have a nice day and never stop questioning!