Question

Given that a box has 4 blue marbles, 3 red marbles, and 5 yellow marbles, use the probability formulas to answer the following questions. Reduce all fractions. Use / as the fraction bar and do not use any spaces. What is the probability of... Drawing a blue marble?

Answer 1

• 1) 1/3

• 2) 2/3

• 3) 5/48

• 4) 1/12

• 5) 5/48

• 6) 25/132

• 7) 5/11

• Explanation:

n{BLUE} = 4

n{RED} = 3

n{YELLOW} = 5

• So, the Total Is:

4 + 3 + 5 = 12

• Draw The Conclusion:

• 1) P{B) = 4/12 = 1/3
• 2) P{R'} = 12 - 3 / 12 = 9/12 = 2/3
• 3) P{R and Y} = 31/124 * 5/12 = 5/48
• 4) P{R and B} = 3/12 + 4/12 = 7/12
• 5) P{R and Y With Replacement} = 3/12 * 5/12 = 5/48
• 6) P{Y and Y Without Replacement} = 5/12 * 5/11 = 25/132
• 7) P{Y Given R was Drawn Without Replacement} = 5/12 - 1 = 5/11

I hope this helps you!