Question

Question
Which event is most likely to happen?



(1 point)
Responses

getting a head from a single toss of a fair coin
getting a head from a single toss of a fair coin

randomly picking a vowel letter from the English alphabet
randomly picking a vowel letter from the English alphabet

randomly picking a consonant letter from the English alphabet
randomly picking a consonant letter from the English alphabet

getting a 6 when rolling a single number cube once
getting a 6 when rolling a single number cube once
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Answer 1

To determine which event is most likely to happen, let's analyze the probabilities of each event listed:

1. **Getting a head from a single toss of a fair coin**: The probability of getting a head is \( \frac{1}{2} \) (or 50%).

2. **Randomly picking a vowel letter from the English alphabet**: The English alphabet has 5 vowels (A, E, I, O, U) out of 26 letters. So, the probability of picking a vowel is \( \frac{5}{26} \) (approximately 19.23%).

3. **Randomly picking a consonant letter from the English alphabet**: There are 21 consonants in the English alphabet. The probability of picking a consonant is \( \frac{21}{26} \) (approximately 80.77%).

4. **Getting a 6 when rolling a single number cube once**: A standard number cube (die) has 6 faces. The probability of rolling a 6 is \( \frac{1}{6} \) (approximately 16.67%).

Now let's compare the probabilities:

- Coin toss (head): \( \frac{1}{2} \) or 50%
- Vowel: \( \frac{5}{26} \) or approximately 19.23%
- Consonant: \( \frac{21}{26} \) or approximately 80.77%
- Rolling a 6: \( \frac{1}{6} \) or approximately 16.67%

Based on these calculations, the event that is most likely to happen is **randomly picking a consonant letter from the English alphabet**, with the highest probability of about 80.77%.