The probability of selecting a white jellybean from a package on the first try is 0.38.
P (selecting white on try 2 ~ selecting white on try 1) = 0. 24. What is the probability of selecting a green jellybean from its package the second time, given that white jellybean is selected the first time?
a. 0.62
b. 0.09
c. 0.63
d. 0.24
The probability of selecting a green jellybean on the second try, given that a white jellybean was selected on the first try, can be denoted as P(G|W).
Using the formula for conditional probability, P(G|W) = P(G and W) / P(W)
We are given that P(W) = 0.38, the probability of selecting a white jellybean on the first try.
We are also given that P(W on try 2 ~ W on try 1) = 0.24, which can be rewritten as P(W' and W) = 0.24.
Since the probability of selecting a white jellybean on try 2, given that a white jellybean was selected on try 1, is the complement of P(W' and W), we can determine it as follows:
P(W on try 2 ~ W on try 1) = 1 - P(W' and W) = 1 - 0.24 = 0.76
Since P(W' and W) can also be expressed as P(W and W'), we have:
P(W and W') = P(W) x P(W on try 2 ~ W on try 1) = 0.38 x 0.76 = 0.2888
Now we can solve for P(G and W):
P(G and W) = P(W and G) = P(W) x P(G|W) = 0.38 x P(G|W) = 0.2888
To find P(G|W), we divide both sides of the equation by P(W):
P(G|W) = P(G and W) / P(W) = 0.2888 / 0.38 = 0.76
Therefore, the probability of selecting a green jellybean from its package the second time, given that a white jellybean is selected the first time, is 0.76. However, none of the given answer choices match this result, so the question may have been stated incorrectly or there may be a misunderstanding in the given information.