# Cards numbered 7 to 40 were put in a box. Poonam selects a card at random. What is the probability that Poonam selects a card which is a multiple of 7? - Mathematics

Sum

Cards numbered 7 to 40 were put in a box. Poonam selects a card at random. What is the probability that Poonam selects a card which is a multiple of 7?

#### Solution

There is a total of 34 cards numbered from 7 to 40.

Numbers multiple of 7 is 7, 14, 21, 28 and 35.

total number of favorable outcomes = 5

Let E be the event that Poonam selects a card which is multiple of 7.

"P"("E") =("Number of cards which are multiple of 7")/("Total number of cards")

⇒ P(E) =5/34

Concept: Basic Ideas of Probability
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