# There are 30 cards in a box, each bearing one of the numbers from 1 to 30. One card is drawn at random from the box. Find the probability of event that the card drawn shows a number which is - Algebra

Sum

There are 30 cards in a box, each bearing one of the numbers from 1 to 30. One card is drawn at random from the box. Find the probability of event that the card drawn shows a number which is a multiple of 5

#### Solution

Sample space,

S = {1, 2, 3,…, 30}

∴ n(S) = 30

Let A be the event that the card drawn shows a number which is a multiple of 5.

∴ A = {5, 10, 15, 20, 25, 30}

∴ n(A) = 6

∴ P(A) = ("n"("A"))/("n"("S"))

∴ P(A) = 6/30

∴ P(A) =  1/5

Concept: Probability of an Event
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