To determine which event is most likely to happen, let's analyze the probabilities of each event:
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Randomly picking a consonant from the English alphabet: There are 21 consonants in the English alphabet (B, C, D, F, G, H, J, K, L, M, N, P, Q, R, S, T, V, W, X, Y, Z) out of 26 total letters. The probability is \( \frac{21}{26} \).
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Getting a head from a single toss of a fair coin: A fair coin has 2 sides (heads and tails), so the probability of getting a head is \( \frac{1}{2} \) or \( \frac{13}{26} \).
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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 total letters. The probability is \( \frac{5}{26} \).
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Getting a 6 when rolling a single dice once: A standard die has 6 faces, so the probability of rolling a 6 is \( \frac{1}{6} \) or approximately \( \frac{4.33}{26} \).
Now let's compare the probabilities:
- Picking a consonant: \( \frac{21}{26} \) = 0.8077
- Getting a head from a coin: \( \frac{1}{2} \) = 0.5
- Picking a vowel: \( \frac{5}{26} \) = 0.1923
- Getting a 6 from a dice: \( \frac{1}{6} \) ≈ 0.1667
The event with the highest probability is:
Randomly picking a consonant from the English alphabet.