Due to the recent detection of phosphine gas in Venus's atmosphere, Space Force needs to form a 12-person committee that will work on a future mission to Venus. There is a total of 35 astronauts and 45 biologists who are interested on being on this committee. Find the probability that the committee will consist of exactly 10 biologists. O 0.001 4,7 E-6 O 0.032 O 0.021 O 5.3 E-5

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**Committee Selection Probability Analysis**

Due to the recent detection of phosphine gas in Venus's atmosphere, Space Force needs to form a 12-person committee that will work on a future mission to Venus. There is a total of 35 astronauts and 45 biologists who are interested in being on this committee. Find the probability that the committee will consist of exactly 10 biologists.

**Possible Answers:**
- \( \circ \) 0.001
- \( \circ \) 4.7 E -6
- \( \circ \) 0.032
- \( \circ \) 0.021
- \( \circ \) 5.3 E -5

The application of combinatorial and probability theory is necessary to approach and solve this problem. Consider reviewing relevant formulas such as combinations and the hypergeometric distribution for detailed analysis.
Transcribed Image Text:**Committee Selection Probability Analysis** Due to the recent detection of phosphine gas in Venus's atmosphere, Space Force needs to form a 12-person committee that will work on a future mission to Venus. There is a total of 35 astronauts and 45 biologists who are interested in being on this committee. Find the probability that the committee will consist of exactly 10 biologists. **Possible Answers:** - \( \circ \) 0.001 - \( \circ \) 4.7 E -6 - \( \circ \) 0.032 - \( \circ \) 0.021 - \( \circ \) 5.3 E -5 The application of combinatorial and probability theory is necessary to approach and solve this problem. Consider reviewing relevant formulas such as combinations and the hypergeometric distribution for detailed analysis.
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