Question

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

one over six

two over six

three over six

four over six



07.01)Amanda created a table to help her represent the sample space of spinning a spinner and flipping a coin.




Result of spin

Result of coin toss Red Green Yellow Blue
Heads Red, heads Green, heads Yellow, heads Blue, heads
Tails Red, tails Green, tails Yellow, tails Blue tails


What is the probability that the result of the spin is blue and the coin lands heads up?

two over eight

three over eight

one over eight

four over eight




07.01)Kelly is picking out an outfit to wear. The organized list below represents the sample space of all possible outfits.

Red shirt – Black pants
Red shirt – White pants
Pink shirt – Black pants
Pink shirt – White pants

Based on the list, how many different-color shirts does Kelly have to choose from?

1

2

4

8



Which table correctly identifies the sample space of spinning the spinner and then selecting a card?

Results of the spin

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

Results of the spin

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

Results of the spin

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

Results of the spin

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

Answer 1

The explanation in the attachment.

Q1.

`\begin{array}{cccccc}science&-&art&-&math\\(1)/(3)&*&(1)/(2)&*&(1)/(1)&=(1)/(6)\end{array}\\------------------\\\begin{array}{cccccc}math&-&art&-&science\\(1)/(3)&*&(1)/(2)&*&(1)/(1)&=(1)/(6)\end{array}\\\\\\P(A)=(1)/(6)+(1)/(6)=\boxed{(2)/(6)}`

Answer: two over six

Q2.

`\begin{array}{cccccc}blue&-&head\\(1)/(4)&*&(1)/(2)&=(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.