SOLUTION: For the given pair of events A and​ B, complete parts​ (a) and​ (b) below. ​A: A marble is randomly selected from a bag containing 2020 marbles consisting

Algebra.Com
Question 1070400: For the given pair of events A and​ B, complete parts​ (a) and​ (b) below.
​A: A marble is randomly selected from a bag containing 2020 marbles consisting of 1​ red, 1616 ​blue, and 33 green marbles. The selected marble is one of the green marbles.
​B: A second marble is selected and it is the 1 red marble in the bag.
a. Determine whether events A and B are independent or dependent.​ (If two events are technically dependent but can be treated as if they are independent according to the​ 5% guideline, consider them to be​ independent.)
b. Find​ P(A and​ B), the probability that events A and B both occur.

Question : The probability that events A and B both occur is
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
The two events are technically dependent but are treated as independent because 33<5% of 2020. Picking the green marble for all practical purposes does not affect the chances of picking a red marble.
The joint probability is 33/2020 (I assume there are other marbles in the bag)*(1/2019)
=8.09 x 10^(-6)
RELATED QUESTIONS

For the given pair of events A and​ B, complete parts​ (a) and​ (b)... (answered by Boreal)
According to a government statistics​ department, 19.3​% of women in a... (answered by trsomas23@gmail.com)
28% of women consider themselves fans of professional baseball. You randomly select four... (answered by solver91311)
For the given pair of events A and​ B, complete parts​ (a) and​ (b)... (answered by stanbon)
Find the slope of the line that is ​(a) parallel and ​(b) perpendicular to... (answered by josgarithmetic)
During a​ 52-week period, a company paid overtime wages for 19 weeks and hired... (answered by solver91311)
In a recent​ year, the scores for the reading portion of a test were... (answered by Boreal)
A manufacturer knows that 6​% of the 200 computer monitors it has in stock are... (answered by Boreal)
The grade point averages​ (GPA) for 12 randomly selected college students are shown (answered by Boreal)