Question

Which event is most likely 2 happen?

A ) Getting a head from a single toss of a fair coin

B ) Randomly picking a vowel letter from da English alphabet

C ) Randomly picking a constant from da English alphabet

D ) Getting a 6 when rolling a single dice once

Answer 1

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

A) Getting a head from a single toss of a fair coin:
- Probability = \( \frac{1}{2} = 0.5 \)

B) Randomly picking a vowel letter from the English alphabet:
- The vowels in the English alphabet are A, E, I, O, U, which gives us 5 vowels out of 26 letters.
- Probability = \( \frac{5}{26} \approx 0.1923 \)

C) Randomly picking a consonant from the English alphabet:
- There are 21 consonants in the English alphabet.
- Probability = \( \frac{21}{26} \approx 0.8077 \)

D) Getting a 6 when rolling a single dice once:
- Probability = \( \frac{1}{6} \approx 0.1667 \)

Now, let's compare the probabilities:
- A) 0.5 (coin toss)
- B) \( \approx 0.1923 \) (vowel)
- C) \( \approx 0.8077 \) (consonant)
- D) \( \approx 0.1667 \) (rolling a 6)

The event that is most likely to happen is **C) Randomly picking a consonant from the English alphabet** (probability of approximately 0.8077).