Each week, a clothing store gives away a shirt to a lucky customer, The shirts vary by sleeve type (long, Short, No sleeve) and color (Gray, Blue, Pink). Draw a tree diagram to represent the sample space. What is the probability that the free shirt will have either long or short sleeves and be either pink or blue?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Each week, a clothing store gives away a shirt to a lucky customer, The shirts vary by sleeve type (long, Short, No sleeve) and color (Gray, Blue, Pink). Draw a tree diagram to represent the sample space.

The total number of the event will be

Total = 3 × 3 = 9

The sample space will be

[tex]\rm Sample =\left\{\begin{matrix}LS,G & LS,B & LS,P \\\\SS,G & SS,B & SS,P \\\\NS,G & NS,B & NS,P \\\end{matrix}\right.[/tex]

Then the probability that the free shirt will have either long or short sleeves and be either pink or blue will be

Then the favorable event will be

Favorable event = 4 {(LS, B), (LS, P), (SS, B), (SS, P)}

[tex]\rm P = \dfrac{4}{9}\\\\P = 0.4444 \ or \ 44.44\%[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

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