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- anonymous

A bag contains 1 blue, 2 white, and 2 red marbles. Match the columns. Drag the letter after a compound event in the left column and drop it before the matching probability in the right column.
Term:
P(red and red), with replacement
P(white and white), with replacement
P(blue and red), with replacement
P(white and red), with replacement
Definition:
A) 20%
B) 16%
C) 8%
D) 10%

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- anonymous

- schrodinger

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- Sriram

red and red=B
white and white=B
blue and red=C
white and red=B

- anonymous

no

- anonymous

For the probability of a red and a red, let's think. There are 2 reds out of 5 total marbles. So, the probability of drawing a red marble is 2/5. We get to put the marble we draw back, so the second time we draw the chance is still 2/5. So, the probability for both events happening together is 2/5*2/5=4/25=.16=16%
The probability of a white and a white is the same as a red and a red because there are 2/5 for both types of marbles, hence this probability is also 16%.
The probability of a blue and then a red. The probability of a blue is 1/5 and then since we put it back the probability of pulling a red is 2/5. The total probability is then 1/5*2/5=2/25=.08=8%
The probability of a white and a red. Well the chances for a white are 2/5 then we put that white marble back in and draw a red, which is a 2/5 chance. So that probability is 2/5*2/5=4/25=.16=16%
Hope that helps some.

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