You have a bag full of apples. There are 8 Jonathan (red), 4 Granny Smith (green), and 5 Golden Delicious (yellow) apples in the bag. The apples are all of similar size and shape. You reach into the bag (without looking) and pull out the number of apples listed in each scenario below.

a) Select 3 apples with replacement. Find the probability that all three are green.

b) Select 3 apples with replacement. Find the probability that none are red.

c) Select 4 apples without replacement. Find the probability that you get at LEAST 2 red apples.

d) Select 2 apples without replacement. Find the probability that the second apple is yellow given that the first apple is red.

Step-by-step explanation:

There are 8 Jonathan (red), 4 Granny Smith (green), and 5 Golden Delicious (yellow) apples in the bag.

a) Select 3 apples with replacement. Find the probability that all there are green.

Therefore 0.0130 is the required probability here.

b) Select 3 apples with replacement. Find the probability that none are red

Probability that none are red is computed here as:

Therefore 0.14838 is the required probability here

c) Select 4 apples with replacement. Find the probability that you get at least 2 red apples

Therefore 0.6647 is the required probability here

d) Select 2 apples with replacement. Find the probability that the second apple is yellow given that the first apple is red.

Therefore 0.3125 is the required probability here

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step-by-step explanation:

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