A bag contains seven green marbles and nine yellow marbles. You randomly select three marbles. What is the probability that all three marbles are green when (a) you replace each marble before selecting the next marble, and (b) you do not replace each marble before selecting the next marble? Write each probability as a decimal rounded to the nearest thousandth. Then compare the probabilities.

Question

01-07-2020
Mathematics

contestada

A bag contains seven green marbles and nine yellow marbles. You randomly select three marbles. What is the probability that all three marbles are green when (a) you replace each marble before selecting the next marble, and (b) you do not replace each marble before selecting the next marble? Write each probability as a decimal rounded to the nearest thousandth. Then compare the probabilities.

Respuesta :

Otras preguntas

Please write of a valid interpretation of this quote “Sometimes the rooster crows at sunset”, PLEASE HELP DUE BY 2PM EST

Jenna rides her scooter at a constant speed for 6 km. That part of her ride takes her 1 h. She then rides her scooter at a constant speed for another 9 km. Tha

Whose shadow warned the children off the Radley porch? A: Atticus B: Arthur Radley C: Jem D: Nathan Radley

Read the selection and the question, and then choose the option that best answers the question. Si se da usted un golpe en la cabeza, puede escuchar las recomen

Vaccines work by tricking the body into remembering an illness you never had. Do you know any other ways where science has allowed humans to take control over n

this needs to stop for real I want others to answer

if gene therapy in the future would allow one to artificially alter the expression of muscle fibers for athletic success, which increase in fiber types would ma

Claire is 43 years old. She married Tom last year. They would like to have a baby, but Claire is concerned that she has not conceived. Outline how Claire's phys

Choose all options that apply. Which of the following are equal to 20%? | a) .25 b) 1/5 Oc) 1/10 d) .20

bruhlol12301230no2 bruhlol12301230no2 · Answer 1 · 2020-07-01T20:32:20+02:00

AnswerProbability = the number of wanted outcomes/the number of possible outcomes

The probability of drawing a green marble is

number of green marbles/ total number of marbles in the bag

7/16

If you replace the marble each time, each time your chance of drawing green is 7/16. If this is done 3 times, the probability is

(7/16)(7/16)(7/16) = 0.084

For not replacing green, there is no impact on the first draw, the probability of getting green on the first draw is still 7/16. If you do not replace, this means that there are no longer 16 marbles in the bag for the second draw, there are now 15. And since you already drew one green one, there are no longer 7 green ones, there are now 6. So probability for green on the second draw is 6/15. If you draw a 3rd time and there isn't replacement, there are no longer 15 marbles in the bag for the second draw, there are now 14. And since you already drew one green one, there are no longer 6 green ones, there are now 5. So probability for green on the third draw is 5/14. Combining the 3 draws together:

(7/16)(6/15)(5/14) = 0.063

The probability of drawing 3 with replacement is higher than without.: