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Question

A number is taken at random from the number 1 to 100, the probability that the number is divisible by '3' or '7'is _____.

A
45/100
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B
43/100
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C
47/100
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D
51/100
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Solution

The correct option is B 43/100

Probability shows the relationship between two variables in the form of ratio, percentage or proportion where there the chances of occurrence of one variable is expressed in terms of the other variable which is usually sample space.

The sample space for the event is 100

Let the required event be E ( getting a number divisible by 3 or 7)

n(E) = 43

Therefore,

P( getting a number divisible by 3 or 7) = n(E)/S

= 43/100

= 0.43


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