Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A bag contains 2 red marbles, 7 blue marbles and 4 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 10ooth, that both marbles drawn will be red? Answer:

A bag contains 22 red marbles, 77 blue marbles and 44 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1010ooth, that both marbles drawn will be red?\newlineAnswer:

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Time and work rate problemsright chevron icon

Full solution

Q. A bag contains 22 red marbles, 77 blue marbles and 44 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1010ooth, that both marbles drawn will be red?\newlineAnswer:
  1. Calculate Total Marbles: Given: A bag contains 22 red marbles, 77 blue marbles, and 44 green marbles. We need to calculate the probability of drawing 22 red marbles in succession without replacement.\newlineFirst, calculate the total number of marbles in the bag.\newlineTotal marbles = 22 red + 77 blue + 44 green\newlineTotal marbles = 1313
  2. First Red Marble Probability: Calculate the probability of drawing the first red marble.\newlineProbability of first red marble = Number of red marbles / Total number of marbles\newlineProbability of first red marble = 213\frac{2}{13}
  3. Second Red Marble Probability: Calculate the probability of drawing the second red marble after the first one has been drawn.\newlineNow there is 11 red marble left and the total number of marbles in the bag is 1212.\newlineProbability of second red marble == Number of red marbles left // Total number of marbles left\newlineProbability of second red marble =112= \frac{1}{12}
  4. Combined Probability: Calculate the combined probability of both events happening one after the other (drawing two red marbles in succession).\newlineCombined probability = Probability of first red marble ×\times Probability of second red marble\newlineCombined probability = (213)×(112)(\frac{2}{13}) \times (\frac{1}{12})\newlineCombined probability = 2156\frac{2}{156}\newlineCombined probability = 178\frac{1}{78}
  5. Express Probability: To express the probability to the nearest thousandth, we can leave the fraction as is or convert it to a decimal.\newlineProbability to the nearest thousandth = 178≈0.013\frac{1}{78} \approx 0.013 (rounded to three decimal places)

More problems from Time and work rate problems

Question
Subtract.\newline(14)−(34)=(\frac{1}{4}) − (\frac{3}{4}) = _____
Get tutor helpright-arrow

Posted 7 months ago

Question
Multiply. 14×(−12)=\frac{1}{4} \times \left(-\frac{1}{2}\right) = _____
Get tutor helpright-arrow

Posted 8 months ago

Question
(7+7)⋅(7+17)=(7+7)\cdot(7+\frac {1}{7})= ______
Get tutor helpright-arrow

Posted 8 months ago

Question
Evaluate.\newline25÷16= \frac{2}{5} \div \frac{1}{6}=
Get tutor helpright-arrow

Posted 8 months ago

Question
Evaluate.\newline12+63= \frac{12+6}{3}=
Get tutor helpright-arrow

Posted 5 months ago

Question
Simplify 43\frac{4}{3}
Get tutor helpright-arrow

Posted 6 months ago

Question
21.45221.452 divided by 0.620.62
Get tutor helpright-arrow

Posted 7 months ago

Question
Grace examines two different size bottles of the same laundry detergent. The price for the 100100 ounce bottle is $9.99\$9.99 and the price for the 150150-ounce bottle is $12.99\$12.99. How much money will Grace save per 100100 ounces if she purchases the larger bottle?\newlineChoose 11 answer:\newline(A) $0.01\$0.01\newline(B) $1.33\$1.33\newline(C) $2.00\$2.00\newline(D) $8.66\$8.66
Get tutor helpright-arrow

Posted 8 months ago

Question
Genovia is a city-state with approximately 50,00050,000 citizens. In a recent newspaper poll of the citizens of Genovia, 34\frac{3}{4} of the poll respondents were in favor of establishing a democratic government. If the citizens polled are representative of all citizens of Genovia, approximately how many citizens are in favor of establishing a democratic government?\newlineChoose 11 answer:\newline(A) 12,50012,500\newline(B) 30,00030,000\newline(C) 37,50037,500\newline(D) 45,00045,000
Get tutor helpright-arrow

Posted 7 months ago

Question
What is the slope of the line through (−10,1)(-10,1) and (0,−4)(0,-4)? \newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer. \newline_____
Get tutor helpright-arrow

Posted 8 months ago

View all (17)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant