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Question
17 cards numbered 1, 2, 3, 4, .... ,17 are put in a box and mixed thoroughly. A card is drawn at random from the box. Find the probability that the card drawn bears a number divisible by 5.
Solution
Total number of cards = 17
Let E2 be the event of choosing a number divisible by 5.
These numbers are 5, 10 and 15.
∴ P(getting a number divisible by 5) = P(E2) = `("Number of outcomes favourable to" E_2)/"Number of all possible outcome" = 3/17`
Thus, the probability that the card drawn bears a number divisible by 5 is `3/17`.
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