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almond37 [142]
4 years ago
12

Based on the tree diagram, what is the probability that the art project is in the middle?

Mathematics
2 answers:
andrey2020 [161]4 years ago
5 0
The explanation in the attachment.

Q1.
\begin{array}{cccccc}science&-&art&-&math\\\dfrac{1}{3}&\times&\dfrac{1}{2}&\times&\dfrac{1}{1}&=\dfrac{1}{6}\end{array}\\------------------\\\begin{array}{cccccc}math&-&art&-&science\\\dfrac{1}{3}&\times&\dfrac{1}{2}&\times&\dfrac{1}{1}&=\dfrac{1}{6}\end{array}\\\\\\P(A)=\dfrac{1}{6}+\dfrac{1}{6}=\boxed{\dfrac{2}{6}}

Answer: two over six

Q2.
\begin{array}{cccccc}blue&-&head\\\dfrac{1}{4}&\times&\dfrac{1}{2}&=\dfrac{1}{8}\end{array}

Answer: one over eight

Q3.
Answer: 2 - Red and Pink

Q4.
Answer : Second table /attachment/.

Card Color    Green                 Yellow                  Purple
                 Purple Green,    Purple Yellow,      Purple Purple,    Purple
                Green Green,      Green Yellow,      Green Purple,    Green

I don't know what happened to LaTeX. The formula of Q1 and Q2 in attachment.

VashaNatasha [74]4 years ago
5 0
------------- Solutions 

Part 1:<span> </span>Science  - Art - Math = Answer 

Science =  \frac{1}{3} 

Art =  \frac{1}{2} 

Math =  \frac{1}{1} 

\frac{1}{3} *  \frac{1}{2} *  \frac{1}{1}  =  \frac{1}{6} 

<span>\frac{1}{3} * \frac{1}{2} * \frac{1}{1} = \frac{1}{6}  
</span>
P(A) =  \frac{1}{6} +  \frac{1}{6}  =  \frac{2}{6} 

Part 2: Blue - Head = Answer 

Blue =  \frac{1}{4} 

Head =  \frac{1}{2} 

\frac{1}{4} *   \frac{1}{2} &#10;&#10;&#10; 

&#10;= 1 * 1 = 1 &#10;&#10;4 * 2 = 8  &#10; 

\frac{1}{4} *  \frac{1}{2} =  \frac{1}{8} 

Part 3: Red + Pink 

Part 4: <span>Card Color    </span>Green<span>                </span> Yellow                 <span> Purple</span> 
<span>                 Purple Green,    Purple Yellow,      Purple Purple,    </span><span>Purple </span>
                Green Green,      Green Yellow,      Green Purple,   <span> Green  


</span>
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