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Question

A bag contains 16 cards bearing number 1, 2, 3, . . . , 16 respectively. One card is chosen at random. What is the probability that the chosen card bears a number which is divisible by 3?

(a) 316

(b) 516

(c) 1116

(d) 1316

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Solution

ANSWER:
(b) 516
Explanation:
Total number of cards in the bag = 16
Numbers on the cards that are divisible by 3 are 3, 6, 9, 12 and 15.
Number of cards with numbers divisible by 3 = 5
Let E be the event that the chosen card bears a number divisible by 3.∴ Required probability = P(E) = 5/16


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