Question

1. a wallet containing 5 five - dollar bills, 7 ten - dollar bills, and 8 twenty - dollar bills is found and returned to its owner. the wallets owner will reward the finder with 1 bill drawn randomly from the wallet. what is the probability that the bill drawn will be a twenty - dollar bill? a. $\frac{1}{20}$ b. $\frac{4}{51}$ c. $\frac{1}{8}$ d. $\frac{2}{5}$ e $\frac{2}{}$

Explanation:

Step1: Calculate the total number of bills

The total number of bills is \(5 + 7+8=20\) bills.

Step2: Calculate the probability of drawing a twenty - dollar bill

The number of twenty - dollar bills is \(8\). The probability \(P\) of an event is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So the probability of drawing a twenty - dollar bill is \(P = \frac{8}{20}=\frac{2}{5}\)

Answer:

D. \(\frac{2}{5}\)