Question
You have three 1-bills two 5-bllls , and a 20-bVert Vert In your pocket. If without replacing the first bill you pick out, what is the P 1 and 20 A (1)/(3) B (1)/(10) C (1)/(5) D (1)/(2)
Solution
Expert Verified
4.0(298 Voting)
JayceeMaster · Tutor for 5 years
Answer
### C. $\frac{1}{10}$
Explain
## Step 1: Calculate the total number of bills.<br />### You have three $\$1$ bills, two $\$5$ bills, and one $\$20$ bill. The total number of bills is $3 + 2 + 1 = 6$.<br /><br />## Step 2: Calculate the probability of picking a $\$1$ bill first.<br />### The probability of picking a $\$1$ bill first is the number of $\$1$ bills divided by the total number of bills: $\frac{3}{6} = \frac{1}{2}$.<br /><br />## Step 3: Calculate the probability of picking a $\$20$ bill second.<br />### After picking a $\$1$ bill, there are 5 bills remaining. The probability of picking a $\$20$ bill is the number of $\$20$ bills divided by the remaining number of bills: $\frac{1}{5}$.<br /><br />## Step 4: Calculate the probability of picking a $\$1$ bill and then a $\$20$ bill.<br />### The probability of both events happening is the product of their individual probabilities: $\frac{1}{2} \times \frac{1}{5} = \frac{1}{10}$.
Click to rate: