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Q.

A bag contains 16 cards bearing number 1, 2, 3…, 16 respectively. one card is chosen at random.


The probability that the chosen card bears a number which is divisible by 3 is:


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a

3 16

b

5 16

c

11 16

d

13 16  

answer is B.

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Detailed Solution

Given a bag that contains 16 cards that have the numbers 1,2,3…, 16 respectively.
Total numbers divisible by 3 from 1 to 16 are 3, 6, 9, 12, and 15.
Number divisible by 3 = 5
And, total number of outcome = 16
Now, the probability that the chosen card bears a number which is divisible by 3 is,
= Number divisible by 3 Total number of outcomes = 5 16
The probability is 5 16 .
Hence, option 2 is correct.
 
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