Which event is most likely to happen?
a getting a head from a single toss of a fair coin
b randomly picking a vowel letter from the English alphabet
c randomly picking a consonant from the English alphabet
d getting a 6 when rolling a single dice once
c randomly picking a consonant from the English alphabet
To determine which event is most likely to happen, we need to consider the number of favorable outcomes and the total number of possible outcomes for each event.
a) Getting a head from a single toss of a fair coin: When flipping a fair coin, there are two possible outcomes - heads or tails. Since we are only interested in getting a head, there is one favorable outcome out of two possible outcomes.
b) Randomly picking a vowel letter from the English alphabet: The English alphabet has 26 letters, out of which there are 5 vowels (a, e, i, o, u). Therefore, there are 5 favorable outcomes out of 26 possible outcomes.
c) Randomly picking a consonant from the English alphabet: Similarly, as there are 21 consonants in the English alphabet, there are 21 favorable outcomes out of 26 possible outcomes.
d) Getting a 6 when rolling a single die once: When rolling a single die, there are six possible outcomes - numbers 1 to 6. Since we are only interested in getting a 6, there is one favorable outcome out of six possible outcomes.
Comparing the number of favorable outcomes to the total number of possible outcomes, we can conclude that the event most likely to happen is:
d) Getting a 6 when rolling a single die once, because it has the highest probability with a 1 in 6 chance.