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.
P(red and red), with replacement
P(white and white), with replacement
P(blue and red), with replacement
P(white and red), with replacement
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red and red=B
white and white=B
blue and red=C
white and red=B
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.