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Erica will randomly select 1 shirt and 1 pair of shorts to wear to the beach today. This table shows the choices she has for shirts and shorts. What is theprobability that Erica will select a red striped shirt and jean shorts?1/151/42/151/8

Erica Will Randomly Select 1 Shirt And 1 Pair Of Shorts To Wear To The Beach Today This Table Shows The Choices She Has For Shirts And Shorts What Is Theprobabi class=

Sagot :

Since the events are mutually exclusive, we can write

[tex]P(\text{red striped}\cap jean\text{ shorts)=P(red striped)}\times P(jean\text{ shorts)}[/tex]

the probability to select the red striped shirt is

[tex]P(\text{red striped)=}\frac{1}{5}[/tex]

because there are 5 choices. In the same way, the probability to select the jean shorts is

[tex]P(\text{jean shorts)=}\frac{1}{3}[/tex]

because there are 3 choices. Then, by substituting these results into our first equation, we get

[tex]\begin{gathered} P(\text{red striped}\cap jean\text{ shorts)=}\frac{1}{5}\times\frac{1}{3} \\ P(\text{red striped}\cap jean\text{ shorts)=}\frac{1}{15} \end{gathered}[/tex]

that is, 1/15

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