Question

for a free lunch giveaway, a restaurant draws 1 card from a bowl of business cards. val puts in 4 cards. the bowl has 40 cards. what is the probability that val will win?

Explanation:

Step1: Determine the number of favorable outcomes and total outcomes

The number of favorable outcomes (Val's cards) is \(4\). The total number of outcomes (total cards in the bowl) is \(40\).

Step2: Use the probability formula

The probability formula is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Substituting the values, we get \(P = \frac{4}{40}\).

Step3: Simplify the fraction

Simplify \(\frac{4}{40}\) by dividing both the numerator and denominator by \(4\). So, \(\frac{4\div4}{40\div4}=\frac{1}{10}\).

Step4: Convert the fraction to a percentage

To convert \(\frac{1}{10}\) to a percentage, we use the formula \(\text{Percentage}=\frac{\text{Numerator}}{\text{Denominator}}\times100\). So, \(\frac{1}{10}\times100 = 10\%\).

Answer:

\(10\%\)