Which event is most likely to happen? a) selecting a vowel from the word radiation b) turning ‘heads’ on a flipped coin c) picking a blue ticket from a hat containing 8 red and 5 blue tickets

Solution: To find which event is most likely to happen, we need to find the probability of each event.

A) selecting a vowel from the word RADIATION

There are 9 letters in the word RADIATION. And there are 5 vowels in the given word.

Now the probability of selecting a vowel from the word RADIATION is:

P(Vowel) =

B) turning ‘heads’ on a flipped coin

We know that probability of getting heads on a flipped coin is:

P(heads) =

C) picking a blue ticket from a hat containing 8 red and 5 blue tickets

The probability of picking a blue ticket from a hat containing 8 red and 5 blue tickets is:

P(picking a blue ticket)

We clearly see the event "selecting a vowel from the word RADIATION" has the highest probability. Therefore the event "selecting a vowel from the word RADIATION" is most likely to happen.

a = 11 : 4

b = 38

c = 1 for every 6