Question

you pick a card at random.
3 4 5 6
what is p(prime)?
write your answer as a percentage.
%

Explanation:

Step1: Count total number of cards

There are 4 cards in total. So \( n(\text{total}) = 4 \).

Step2: Identify prime - numbered cards

Prime numbers among 3, 4, 5, 6 are 3 and 5. So \( n(\text{prime})=2 \).

Step3: Calculate probability as a fraction

The probability formula is \( P(A)=\frac{n(A)}{n(\text{total})} \). Here \( P(\text{prime})=\frac{2}{4}=\frac{1}{2} \).

Step4: Convert fraction to percentage

To convert \( \frac{1}{2} \) to a percentage, use the formula \( \text{Percentage}=\frac{1}{2}\times100\% \).

$$ \frac{1}{2}\times100\%=(1\times50)\% = 50\% $$

Answer:

50%