### Step 1: Total number of ways to choose 4 birds from 15:
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- 5Question: A zoologist is tracking 5 red birds, 7 green birds, and 3 blue birds in a forest. If she randomly selects 4 birds, what is the probability that she selects at least one bird of each color?
- We are selecting 4 birds from a total of $ 5 + 7 + 3 = 15 $ birds.
- We want to compute the probability that in a random selection of 4 birds, there is **at least one bird of each color** (red, green, and blue).
- \text{Total ways} = \binom{15}{4} = 1365
- ### Step 2: Favorable outcomes — at least one of each color
- We want the number of 4-bird selections that include **at least one red, one green, and one blue** bird.
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