Which event is most likely to happen?(1 point) Responses randomly picking a vowel letter from the English alphabet randomly picking a vowel letter from the English alphabet getting a head from a single toss of a fair coin getting a head from a single toss of a fair coin getting a 6 when rolling a single dice once getting a 6 when rolling a single dice once randomly picking a consonant from the English alphabet

1 answer

Let's evaluate the probability of each event:

  1. Randomly picking a vowel letter from the English alphabet: There are 5 vowels (A, E, I, O, U) out of the 26 letters in the alphabet. The probability is 5/26.

  2. Getting a head from a single toss of a fair coin: There are 2 possible outcomes (heads or tails), so the probability is 1/2.

  3. Getting a 6 when rolling a single dice once: A standard die has 6 faces, so the probability of rolling a 6 is 1/6.

  4. Randomly picking a consonant from the English alphabet: There are 21 consonants in the English alphabet (26 total letters - 5 vowels), so the probability is 21/26.

Now, let's convert these probabilities to a common understanding (as decimals):

  • Randomly picking a vowel: approximately 0.192 (5/26)
  • Getting a head from a coin toss: 0.5 (1/2)
  • Getting a 6 from a die: approximately 0.167 (1/6)
  • Randomly picking a consonant: approximately 0.808 (21/26)

Among these options, the event "getting a head from a single toss of a fair coin," which has a probability of 0.5, is the most likely to happen.