Of the cartons produced by a company, % have a puncture, % have a smashed corner, and % have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner nothing%. (Type an integer or a decimal. Do not round.)

Using Venn probabilities, it is found that:

In this problem, the events are:

The "or" probability is given by:

Then:

The probability that a randomly selected carton has a puncture or a smashed corner is 15.6%.

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Full Question

Of the cartons produced by a company, 10% have a puncture, 6% have a smashed corner, and 0.4% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner nothing ____%. (Type an integer or a decimal. Do not round.)

Step-by-step explanation:

Given

Required

For non-mutually exclusive event described above, P(Punctured or Smashed Corner) can be calculated as thus;

Substitute:

10% for P(Puncture Corner),

6% for P(Smashed Corner) and

0.4% for P(Punctured and Smashed Corner)

Convert % to fraction

Convert to decimal

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step-by-step explanation: