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Home » Cactuar: The Unbelievable Habit Everyone’s Talking About (Yes, It Exists!) - Veritas Home Health

Cactuar: The Unbelievable Habit Everyone’s Talking About (Yes, It Exists!) - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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List all prime numbers less than 50:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47
There are 15 primes in total, of which 14 are odd and 1 (2) is even.
Total number of ways to choose 3 distinct primes:
inom{15}{3} = rac{15 \cdot 14 \cdot 13}{6} = 455
Number of favorable outcomes (include 2 and two odd primes):
Choose 2 from the 14 odd primes:
inom{14}{2} = rac{14 \cdot 13}{2} = 91
rac{91}{455} = rac{1}{5}
So, the probability that the sum is even is $oxed{\dfrac{1}{5}}$.

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