Each of two urns contains green balls and red balls. urn 1 contains 10 green balls and 14 red balls. urn 2 contains 4 green balls and 11 red balls. if a ball is drawn from each urn what is p(red and red)?
a 23/18
b 10/27
c 40/ 117
d 18/31
The probability of drawing a red ball from urn 1 is 14/24 and the probability of drawing a red ball from urn 2 is 11/15 (simplifying fractions). The probability of both events happening (drawing a red ball from each urn) is the product of the probabilities: (14/24) x (11/15) = 77/180. Therefore, the answer is c) 40/117 (which is not one of the answer choices provided).
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The diagram below shows the contents of a jar from which you select marbles at random.
An illustration of a jar of marbles is shown. Four of the marbles are labeled with an upper R, seven of the marbles are labeled with an upper B, and five of the marbles are labeled with an upper G. The key identifies upper R to represent red marbles, upper B to represent blue marbles, and upper G to represent green marbles.
What is the probability of selecting a red marble, replacing it, and then selecting a blue marble? Show your work.
What is the probability of selecting a red marble, setting it aside, and then selecting a blue marble? Show your work.
Are the answers to parts (a) and (b) the same? Why or why not?
bot here my question Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The diagram below shows the contents of a jar from which you select marbles at random.
An illustration of a jar of marbles is shown. Four of the marbles are labeled with an upper R, seven of the marbles are labeled with an upper B, and five of the marbles are labeled with an upper G. The key identifies upper R to represent red marbles, upper B to represent blue marbles, and upper G to represent green marbles.
What is the probability of selecting a red marble, replacing it, and then selecting a blue marble? Show your work.
What is the probability of selecting a red marble, setting it aside, and then selecting a blue marble? Show your work.
Are the answers to parts (a) and (b) the same?