Question

suppose you have a bag of colored elastic bands and you choose one without looking. The probability the elastic band you choose is orange is P(orange)=0.85. Write this probability as a percent and a fraction. Use a word or phrase to describe this probability,what best decribes the probability unlikely,likely,as likely not

Answer 1

Explanation

the probability of an event is the ratio of the favorable outcomes to the total outcomes

$P(A)=\text{ }\frac{favorable\text{ outcomes}}{total\text{ outcomes}}$

then

from the given data

Let

$\begin{gathered} P(orange)=\text{ }\frac{1\text{ elastic band }}{total\text{ elastic band}} \\ hence \\ \frac{1\text{elast\imaginaryI cband}}{total\text{elast\imaginaryI cband}}=0.85 \end{gathered}$

so

Step 1

Write this probability as a percent:

a) percent

to do that, multiply by 100%

so

$0.85\Rightarrow0.85*100\text{ \%}\Rightarrow85\text{ \%}$

so

a) 85%

b)fraction:

to do that, multiply numerator and denominator by 100 and simplify

so

$\begin{gathered} 0.85\Rightarrow\frac{0.85}{1}*\frac{100}{100}=\frac{85}{100} \\ \frac{85}{100}=\frac{17}{20} \\ \frac{17}{20} \end{gathered}$

therefore

b)

$\frac{17}{20}$

so, the probability of choosing one orange elastic band si 17/20,

Step 2

to fiind the best word to describe the probability we need to check in the likelihood scale

$\begin{gathered} 85\text{ \%}\Rightarrow(66-100)\Rightarrow so\Rightarrow likely \\ \end{gathered}$

so, the answer is

Likely

I hope this helps you