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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
- a vowel
- a card marked U
- A or I
- a consonant
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Solution
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.
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