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Cards marked with nos. 2 , 3 ,4.......61 are placed in a box and mixed thoroughly. 1 card is drawn . Find the probability that the card drawn is (i) an even number (ii) a square number ?

Asked by Vikas 6th June 2016, 2:39 PM
Answered by Expert
Answer:

Cards space marked space with space nos. space 2 space comma space 3 space comma 4.......61 space are space placed space in space straight a space box
Total space no. space of space cards space equals space 60
1 space card space is space drawn.
straight n left parenthesis straight s right parenthesis space equals straight C presuperscript 60 subscript 1 space equals space 60

left parenthesis straight i right parenthesis space an space even space no.
There space are space 30 space even space nos space in space the space box.
straight P left parenthesis even space no. right parenthesis space equals fraction numerator straight C presuperscript 30 subscript 1 over denominator 60 end fraction equals 30 over 60 equals begin inline style 1 half end style

space
left parenthesis ii right parenthesis space straight a space square space no.
Square space no. space in space box space are space equals space left curly bracket 4 comma space 25 comma space 36 comma space 49 right curly bracket
There space are space 4 space square space nos space in space the space box.
straight P left parenthesis square space no. right parenthesis space equals fraction numerator straight C presuperscript 4 subscript 1 over denominator 60 end fraction equals 4 over 60 equals begin inline style 1 over 15 end style

Answered by Expert 6th June 2016, 6:06 PM
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