Inside the box of every cereal box contains a surprise gift. The store manager assures employees that 12 of the 65 boxes on the shelf have a secret decoder ring and inside the other 53 boxes on the shelf contain a different gift. If two cereal boxes are randomly selected from the shelf to purchase, what is the probability that both of them have the secret decoder ring? (Give answer as a decimal correct to least three decimal places.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Inside the box of every cereal box contains a surprise gift.
The store manager assures employees that 12 of the 65 boxes
on the shelf have a secret decoder ring and inside the other
53 boxes on the shelf contain a different gift. If two cereal
boxes are randomly selected from the shelf to purchase,
what is the probability that both of them have the secret
decoder ring? (Give answer as a decimal correct to least
three decimal places.)
Transcribed Image Text:Inside the box of every cereal box contains a surprise gift. The store manager assures employees that 12 of the 65 boxes on the shelf have a secret decoder ring and inside the other 53 boxes on the shelf contain a different gift. If two cereal boxes are randomly selected from the shelf to purchase, what is the probability that both of them have the secret decoder ring? (Give answer as a decimal correct to least three decimal places.)
Expert Solution
Step 1

There are total 65 boxes.

12 of them have a special decoder ring and 53 boxes have different gifts. 

 

We can pick any 2 boxes from 65 boxes in 65P2=

 

 

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