SOLUTION: suppose you have 2 jars with the following contents, Jar 1 has 5 white balls and 4 black balls. Jar 2 has 7 white balls and 2 black balls. One jar is selected, then one ball is to
Algebra.Com
Question 1037601: suppose you have 2 jars with the following contents, Jar 1 has 5 white balls and 4 black balls. Jar 2 has 7 white balls and 2 black balls. One jar is selected, then one ball is to be drawn from the selected jar. The probabilities of choosing Jar 1 is 1/4 and Jar 2 is 3/4.
A) Find the probability that a marble is chosen from Jar 1 and that it is black
B) Find the probability that a marble was chosen from jar 2 and that it is white
C) Find the probability that a black marble was chosen given that it is from jar 2.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
suppose you have 2 jars with the following contents, Jar 1 has 5 white balls and 4 black balls. Jar 2 has 7 white balls and 2 black balls. One jar is selected, then one ball is to be drawn from the selected jar. The probabilities of choosing Jar 1 is 1/4 and Jar 2 is 3/4.
A) Find the probability that a marble is chosen from Jar 1 and that it is black
P(JarI and black) = (1/4)(4/9) = 1/9
--------------------------------------------
B) Find the probability that a marble was chosen from jar 2 and that it is white
P(JarII and white) = (3/4)(7/9) = 21/36 = 7/9
----------------------------------
C) Find the prob that a black marble was chosen given that it is from jar 2.
P(black | JarII) = P(black and JarII)/P(Jar II) = (2/9)/(3/4) = 8/27
------------
Cheers,
Stan H.
------------
RELATED QUESTIONS
can someone help me with these problems when you have a few min. thanks.
Problem #1... (answered by stanbon)
Jar A contains 5 red balls and 7 white balls. Jar B contains 8 red balls and 4 white... (answered by sudhanshu_kmr)
Two boxes, A and B contain equal numbers of balls (black and white). A sample of
100... (answered by Boreal)
A bag contains 7 white 5 black and 4 red balls. If 2 balls are drawn at random.
What is (answered by Fombitz)
Urn 1 has 2 white and 3 black balls : Urn 2 has 4 white and 1 black:Uen 3 has 3 white and (answered by ikleyn)
9. Suppose that we have two bags each containing black and white balls. One bag contains... (answered by Boreal)
If an urn has 5 white balls and 6 red balls and 8 green balls, what is the probability... (answered by ikleyn)
1. A ball is drawn randomly from a jar that contains 6 red balls, 2 white balls, and 5... (answered by math_tutor2020)
one box contains 7 white balls and 2 black balls, another contains 6 white ball and 4... (answered by greenestamps)