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Question
Joseph kept 26 cards in a cap, bearing one English alphabet on each card. One card is drawn at random. What is the probability that the card drawn is a vowel card ?
Solution
Let S be the sample space.
We are given that there are 26 cards in a cap bearing one English alphabet on each card.
∴ n(S) = 26
Let A be the event of drawing is a vowel card.
There are 5 vowels out of 26 English alphabets.
∴ n(A) = 5
`therefore P(A) = (n(A))/(n(S))`
`=5/26`
Hence, the probability that the card drawn is a vowel card is `=5/26`.
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