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Language: Complement of 鈥淎t Least One鈥 Let A = the event of getting at least one defective iPhone when 3 iPhones are randomly selected with replacement from a batch. Write a statement describing eventA.

Short Answer

Expert verified

Ais the event of getting no defective iPhone out of the three selected iPhones.

Step by step solution

01

Given information

Three iPhones are selected at random.

A is the event of selecting at least one defective iPhone.

02

Complementary Events

A and Aare said to be complementary when the former denotes the occurrence of the event and the latter denotes the non-occurrence of the event or vice-versa.

Thus, the outcomes of event A are opposite (all elements of sample space except those supportive of A) to A.

The following property holds true for the probability of complementary events:

PA+PA=1

03

Description of the given event

A is the event of selecting at least one defective iPhone. Therefore,the number of defective iPhones selected is 1, 2, or 3 in the three randomly selected iPhones.

Thus, is the event of 鈥渘ot鈥 selecting at least one defective iPhone. In other words, it is an event of not selecting any (0) defective iPhone.

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