Respuesta :
We will see that the probabilities are:
- P(yellow, then red) = 0.1
- P(blue, then green) = 0.03
- P(both red) = 0.06
How to find the probabilities?
First, the probability of getting a particular color of marker is given by the quotient between the number of markers of that color and the total number of markers
There are:
9 red markers.
5 blue markers.
14 yellow markers
8 green markers.
For a total of: 9 + 5 + 14 + 8 = 36.
a) P(yellow, then red)
First, the probability of getting a yellow marker is:
p = 14/36.
Then the probability of getting a red marker (notice that now there are 35 markers in total) is:
q = 9/35.
Then the joint probability is:
P(yellow, then red) = p*q = ( 14/36)*(9/35) = 0.1
b) P(blue, then green)
First, the probability of getting a blue marker is:
p = 5/36.
After, the probability of getting a green marker is:
q = 8/35.
So the joint probability is:
P(blue, then green) = (5/36)*(8/35) = 0.03
c) P(both red).
First, the probability of getting a red marker is:
p = 9/36
Now there are 8 red markers and 35 markers in total, so the probability of getting another red marker is:
q = 8/35
The joint probability is:
P(both red) = (9/36)*(8/35) = 0.06
If you want to learn more about probability:
https://brainly.com/question/251701
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