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3. twelve charms representing the 12 months of the year are attached, i…

Question

  1. twelve charms representing the 12 months of the year are attached, in order, onto a chain bracelet. find the probability that you choose either charms for june and july. express your answer as a percent.

Explanation:

Step1: Determine total charms

There are 12 charms (12 months), so total possible outcomes \( n = 12 \).

Step2: Determine favorable outcomes

We want either June or July charm. So favorable outcomes \( m = 2 \) (June and July are 2 distinct charms).

Step3: Calculate probability

Probability \( P=\frac{m}{n}=\frac{2}{12}=\frac{1}{6}\approx0.1667 \).

Step4: Convert to percent

Multiply by 100: \( 0.1667\times100 = 16.67\% \) (rounded to two decimal places, or \( 16.\overline{6}\% \)).

Answer:

\( 16.\overline{6}\% \) (or approximately \( 16.67\% \))