There are a total of 24 notepads in the package, and 6 of them are either blue or green. Therefore, the probability that a blue or green notepad is selected is 6/24 = 1/4.
Out of the 24 notepads, 6 are yellow and 6 are pink, so the probability that a yellow or pink notepad is selected is (6 + 6)/24 = 12/24 = 1/2.
To find the probability that a yellow or pink notepad is selected given that it is either blue or green, we can use the formula for conditional probability: P(A|B) = P(A and B)/P(B). In this case, A is the event "yellow or pink notepad is selected" and B is the event "blue or green notepad is selected."
Substituting the values we have calculated above, we get: P(yellow or pink notepad is selected | blue or green notepad is selected) = P(yellow or pink notepad is selected and blue or green notepad is selected)/P(blue or green notepad is selected) = P(yellow or pink notepad is selected)/P(blue or green notepad is selected) = (1/2)/(1/4) = 2/1 = 2.
Therefore, the probability that a yellow or pink notepad is selected given that it is either blue or green is 2.
The the probability that a yellow or pink notepad is selected given that it is either blue or green is 0.
Here we are given that there is a package of self-sticking notepads contains 6 yellow, 6 blue, 6 green, and 6 pink notepads.
Thus, the total number of notepads will be = 6 + 6 + 6 + 6
= 24 notepads.
Therefore, the probability of selecting a notepad of each of the 4 colors will be = 6/24 or 1/4
Now, if we are given that a notepad is randomly selected and it is either blue of green, the probability that it is yellow or pink will be = 0/12
= 0
We can also think about the problem in another way. Each of the notepads is of only one color. There is no notepad that can be both blue and green, for example.
Thus, if it is given that a notepad is either blue or green, there is no way that it can be yellow or pink.
Hence, the the probability that a yellow or pink notepad is selected given that it is either blue or green is 0.
Learn more about probability here-
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