To determine which event is most likely to happen, let's analyze each option based on the probability of occurrence:
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Randomly picking a vowel letter from the English alphabet: There are 5 vowels (A, E, I, O, U) out of 26 letters in the English alphabet. So, the probability is \( \frac{5}{26} \).
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Getting a 6 when rolling a single die once: A standard die has 6 faces, and only one face shows a 6. The probability is \( \frac{1}{6} \).
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Randomly picking a consonant from the English alphabet: There are 21 consonants in the English alphabet. The probability is \( \frac{21}{26} \).
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Getting a head from a single toss of a fair coin: There are 2 possible outcomes (heads or tails), so the probability is \( \frac{1}{2} \).
Now, let's compare these probabilities:
- Vowel: \( \frac{5}{26} \approx 0.1923 \)
- Getting a 6: \( \frac{1}{6} \approx 0.1667 \)
- Consonant: \( \frac{21}{26} \approx 0.8077 \)
- Heads: \( \frac{1}{2} = 0.5 \)
Among these probabilities, picking a consonant from the English alphabet has the highest probability of occurrence at approximately 0.8077, making it the most likely event.