Question

Following cards are put facing down:

\[\boxed{\text{A}}\] \[\boxed{\text{E}}\] \[\boxed{\text{I}}\] \[\boxed{\text{O}}\] \[\boxed{\text{U}}\]

What is the chance of drawing out

1. a vowel
2. a card marked U
3. A or I
4. a consonant

Answer 1

a. We can clearly see that all the 5 letters are vowels, i.e. A, E, I, O.

Hence, it is certain to draw a vowel, i.e. probability of drawing a vowel is 1.

b. Probability = `"Number of cards marked U"/"Total number of cards" = 1/5`

c. Probability = `"Number of cards marked A or I"/"Total number of cards" = 2/5`

d. Probability = `"Number of cards marked with a consonant"/"Total number of cards" = 0/5 = 0`

 Hence, it is impossible to draw a consonant.