57 350
Assignments Done
Successfully Done
In February 2018
Your physics homework can be a real challenge, and the due date can be really close — feel free to use our assistance and get the desired result.
Be sure that math assignments completed by our experts will be error-free and done according to your instructions specified in the submitted order form.
Our experts will gladly share their knowledge and help you with programming homework. Keep up with the world’s newest programming trends.

Answer on Statistics and Probability Question for Alex Landon

Question #370
There are 10 red and 6 blue buttons in the box. What is the probability that two randomly taken buttons are of the same color?
Expert's answer
Extraction of two buttons can be represented as a sequential extraction of one button, and then another. The probability of taking the blue button on the first pulling is: P(blue, 1) = 6/(10+6) = 6/16. If we have got the blue button at the first pulling, then there are 10 red and 5 blue buttons left in the box, which means that the probability to pull the second blue button is: P(blue, 2) = (6-1)/(10+6-1) = 5/15.

The results of the two described extractions are not dependent on each other, hence the probability of getting two blue buttons (a blue button at the first extraction and a blue button at the second extension) is: P(blue) = P(blue, 1)*P(blue, 2) = (6/16)*(5/15) = 30/(16*15) = 1/8.

Similarly for the red buttons:
P(red, 1) = 10/(10+6) = 10/16;
P(red, 2) = (10-1)/(10+6-1) = 9/15;
P(red) = P(red, 1)*P(red, 2) = (10/16)*(9/15) = 90/(16*15) = 3/8.

Getting two buttons of the same color is equivalent to getting two red or two blue buttons. As these events are independent, the probability of extracting two buttons of the same color is:
P(blue or red) = P(blue) + P(red) = 1/8 + 3/8 = 4/8 = 1/2.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!


No comments. Be first!

Leave a comment

Ask Your question