To determine which event is most likely to happen, we need to analyze the probabilities of each event:
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Getting a 6 when rolling a single die once: There is 1 outcome (rolling a 6) out of 6 possible outcomes (1, 2, 3, 4, 5, 6), so the probability is \( \frac{1}{6} \).
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Getting a head from a single toss of a fair coin: There are 2 outcomes (heads or tails), so the probability is \( \frac{1}{2} \).
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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 total, so the probability is \( \frac{5}{26} \), which is approximately \( 0.192 \).
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Randomly picking a consonant from the English alphabet: There are 21 consonants (the total 26 letters minus the 5 vowels), so the probability is \( \frac{21}{26} \), which is approximately \( 0.808 \).
Now, comparing the probabilities:
- Rolling a 6: \( \frac{1}{6} \approx 0.167 \)
- Getting heads: \( \frac{1}{2} = 0.5 \)
- Picking a vowel: \( \frac{5}{26} \approx 0.192 \)
- Picking a consonant: \( \frac{21}{26} \approx 0.808 \)
The event most likely to happen is randomly picking a consonant from the English alphabet.