Respuesta :
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) = [tex] \frac{Number of vowels }{Total Number of letter} [/tex]
[tex] =\frac{5}{9} =0.56 [/tex]
B) turning ‘heads’ on a flipped coin
We know that probability of getting heads on a flipped coin is:
P(heads) =[tex] \frac{1}{2} =0.5 [/tex]
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) [tex] =\frac{5}{13}=0.38[/tex]
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.
