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CBSE Class 12-science Answered

From a set of 100 cards numbered 1 to 100 ,one card is drawn at random.Find the probability that the number on the card is divisible by 6 or 8, but not by 24.
Asked by nikhilpandey140a | 10 Mar, 2016, 06:22: PM
answered-by-expert Expert Answer
begin mathsize 12px style LCM space of space 6 space and space 8 space is space 24. Hence comma space any space number space which space is space divisible space by space both space 6 space and space 8 space is space divisible space by space 24. There space are space 4 space numbers space from space 1 space to space 100 space which space are space divisible space by space 24. space left parenthesis 24 comma space 48 comma space 72 comma space 96 right parenthesis There space are space 16 space multiples space of space 6 space from space 1 space to space 100. space Lets space include space all space these space numbers space in space set space straight A. There space are space 12 space multiples space of space 8 space from space 1 space to space 100. space Lets space include space all space these space numbers space in space set space straight B. We space need space number space of space elements space in space only space straight A space and space only space straight B. The space required space number equals straight n open parentheses straight A close parentheses plus straight n open parentheses straight B close parentheses minus 2 straight n open parentheses straight A large intersection straight B close parentheses equals 16 plus 12 minus 2 cross times 4 equals 20 Probability equals 20 over 100 equals 1 fifth end style
Answered by satyajit samal | 11 Mar, 2016, 01:22: PM
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