Question
From a set of 17 cards, numbered 1, 2, ..., 17, one card is drawn at random. What is the probability that number on the drawn card is a multiple of 3 or 7 ?
Answer: Option B
:
B
The total number of possibleoutcomes(counting of the cards from 1to 17) = 17
Favourable outcomes are3, 6, 7, 9, 12, 14 and 15.
∴ No. offavourable outcomes = 7
Let E be the event of getting a multiple of 3 or 7.
∴ Probability P(E) = Number of outcomes favorable to ENumber of all possible outcomes of the experiment=717
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B
The total number of possibleoutcomes(counting of the cards from 1to 17) = 17
Favourable outcomes are3, 6, 7, 9, 12, 14 and 15.
∴ No. offavourable outcomes = 7
Let E be the event of getting a multiple of 3 or 7.
∴ Probability P(E) = Number of outcomes favorable to ENumber of all possible outcomes of the experiment=717
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