Question

you pick a card at random. 1 2 3 4 5 what is p(prime)? write your answer as a percentage. %

Explanation:

Step1: Determine total number of cards

There are 5 cards. So total number of outcomes \( n = 5 \).

Step2: Identify prime - numbered cards

Prime numbers among 1, 2, 3, 4, 5 are 2, 3, 5. So number of favorable outcomes \( m=3 \).

Step3: Calculate probability as a fraction

Probability formula is \( P=\frac{m}{n} \). Substituting values, \( P = \frac{3}{5} \).

Step4: Convert fraction to percentage

To convert \( \frac{3}{5} \) to percentage, use \( \frac{3}{5}\times100\% \).

$$ \frac{3}{5}\times100\%=(3\times20)\% = 60\% $$

Answer:

60%