There are 3 green balls, 5 red balls, and 2 blue balls in a box. one ball is randomly drawn, replaced and then another ball is drawn. what is the probability of getting a green ball then a blue ball? a. 1/15 b. ½ c. 3/100 d. 3/50 (show your work )

Option d. 3/50 is the correct option.

Step-by-step explanation:

Total number of balls given in a box is 10. Out of which different balls are

Green = 3, Red balls = 5, Blue = 2.

One ball was randomly drawn so probability of getting a green ball will be = 3/10

Now the ball was replaced so total number of balls remains the same

Then the probability of getting a blue will be = 2/10

Therefore the probability of both the events simultaneously = (3/10)×(2/10)=6/100 = 3/50

Option d. 3/50 is the answer.

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )

answer:   segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students.   an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality.   in the case of brown v. board of education, that standard was challenged and defeated.   segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to   education.   this was being violated by states whose laws supported the segregation of schools.   section 1 of the 14th amendment reads as follows: