Here are the step-by-step solutions for the problems shown in the worksheet.
Question 1
Problem: Find the probability of selecting a brown candy.
*
Step 1: Count the total number of candies in the bowl.
$4 \text{ (yellow)} + 6 \text{ (orange)} + 3 \text{ (green)} + 5 \text{ (blue)} + 2 \text{ (brown)} = 20 \text{ total candies}$.
*
Step 2: Identify the number of brown candies. There are
2.
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Step 3: Write the probability as a fraction: $\frac{\text{Brown Candies}}{\text{Total Candies}} = \frac{2}{20}$.
*
Step 4: Simplify the fraction by dividing the top and bottom by 2.
$\frac{2 \div 2}{20 \div 2} = \frac{1}{10}$.
Correct Option: A
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Question 2
Problem: Find the probability of rolling an even number on a standard die (1-6).
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Step 1: List all possible numbers on a die: 1, 2, 3, 4, 5, 6. The total is
6.
*
Step 2: Identify the even numbers: 2, 4, and 6. There are
3 even numbers.
*
Step 3: Write the probability: $\frac{3}{6}$.
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Step 4: Simplify the fraction. Both numbers can be divided by 3.
$\frac{3 \div 3}{6 \div 3} = \frac{1}{2}$.
Correct Option: C
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Question 3
Problem: Based on the chart, find the probability of pulling a green marble.
*
Step 1: Add up the "Frequency" column to find the total number of marbles drawn.
$7 + 1 + 5 + 0 + 8 + 4 = 25$.
*
Step 2: Find the frequency for "Green". It is
8.
*
Step 3: Write the probability: $\frac{8}{25}$. This fraction cannot be simplified further.
Correct Option: B
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Question 4
Problem: Find the probability of getting any letter that is
not A.
*
Step 1: Count the total sections on the spinner. There are
8 sections.
*
Step 2: Count how many sections have the letter 'A'. There are
2 'A's.
*
Step 3: Count how many sections do
not have 'A'.
$8 \text{ (total)} - 2 \text{ (A's)} = 6 \text{ sections that are not A}$.
*(Alternatively, count them: F, E, E, E, C, B = 6)*.
*
Step 4: Write the probability: $\frac{6}{8}$.
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Step 5: Simplify the fraction by dividing by 2.
$\frac{6 \div 2}{8 \div 2} = \frac{3}{4}$.
Correct Option: B
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Question 5
Problem: Find the probability that the marble picked is red or blue.
*
Step 1: Find the total number of marbles in the jar.
$2 \text{ (pink)} + 6 \text{ (red)} + 4 \text{ (blue)} = 12 \text{ total marbles}$.
*
Step 2: Find the number of "favorable" outcomes (Red OR Blue).
$6 \text{ (red)} + 4 \text{ (blue)} = 10 \text{ marbles}$.
*
Step 3: Write the probability: $\frac{10}{12}$.
*
Step 4: Simplify the fraction by dividing by 2.
$\frac{10 \div 2}{12 \div 2} = \frac{5}{6}$.
Final Answer:
1. A
2. C
3. B
4. B
5. 5/6
Parent Tip: Review the logic above to help your child master the concept of pre algebra probability worksheet.
