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1. Two hundred fifty tickets for a draw were sold.
One ticket, drawn at random, wins the prize.
a) Joe purchased 1 ticket.
What is the probability Joe will win?
b) Maria purchased 10 tickets.
What is the probability Maria will win?
c) Ivan purchased 25 tickets.
What is the probability Ivan will not win?
Express each probability three ways.


2. Thanh has 20 felt pens in a pencil case.
He has 6 blue pens, 5 red pens, 2 yellow pens, 3 green pens,
2 brown pens, 1 purple pen, and 1 orange pen.
Thanh reaches into the case without looking and pulls out one pen.
Write a ratio, fraction, and percent to describe
the probability that Thanh picks:
a) either a yellow or a green pen
b) either a blue or a red pen
c) a coloured pen
d) a grey pen
e) a purple pen

 May 29, 2020
 #1
avatar+25460 
+2

1. Two hundred fifty tickets for a draw were sold.
One ticket, drawn at random, wins the prize.
a) Joe purchased 1 ticket. What is the probability Joe will win?
b) Maria purchased 10 tickets. What is the probability Maria will win?
c) Ivan purchased 25 tickets. What is the probability Ivan will not win?
Express each probability three ways.

 

\(\begin{array}{|lrcll|} \hline \text{Joe}: & \dfrac{1}{250} \\ & =0.004 \\ & =0.4~\% \\ \hline \end{array} \begin{array}{|lrcll|} \hline \text{Maria}: & \dfrac{10}{250} \\ & =0.04 \\ & =4~\% \\ \hline \end{array} \begin{array}{|lrcll|} \hline \text{Ivan}: & \dfrac{25}{250} \\ & =0.1 \\ & =10~\% \\ \hline \end{array} \)

 

laugh

 May 29, 2020
edited by heureka  May 29, 2020
 #2
avatar+67 
0

Thank you!

 May 29, 2020
 #3
avatar+25460 
+2

2. Thanh has 20 felt pens in a pencil case.
He has 6 blue pens, 5 red pens, 2 yellow pens, 3 green pens,
2 brown pens, 1 purple pen, and 1 orange pen.
Thanh reaches into the case without looking and pulls out one pen.
Write a ratio, fraction, and percent to describe
the probability that Thanh picks:
a) either a yellow or a green pen
b) either a blue or a red pen
c) a coloured pen
d) a grey pen
e) a purple pen

 

sum: \(6+5+2+3+2+1+1 = 20\)

 

\(\begin{array}{|lrcll|} \hline a) & \dfrac{2+3}{20} \\ & =\dfrac{5}{20}\\ & =\dfrac{1}{4}\\ & =25~\% \\ \hline \end{array} \begin{array}{|lrcll|} \hline b) & \dfrac{6+5}{20} \\ & =\dfrac{11}{20}\\ & =55~\% \\ \hline \end{array} \begin{array}{|lrcll|} \hline c) & \dfrac{20}{20} \\ & =1 \\ & =100~\% \\ \hline \end{array} \begin{array}{|lrcll|} \hline d) & \dfrac{0}{20} \\ & =0 \\ & =0~\% \\ \hline \end{array} \begin{array}{|lrcll|} \hline e) & \dfrac{1}{20} \\ & =5~\% \\ \hline \end{array} \)

 

laugh

 May 29, 2020

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