Cards marked with numbers 1, 3, 5… 49 are placed in a box and mixed thoroughly. one card is drawn from the box. find the probability that the number on the card is (i) divisible by 3 (ii) a composite number (iii) not a perfect square (iv) multiple of 3 and 5.
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Answered by
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1)16/49 3)43/49 4) multiple of 3- 16/49 multiple of 5- 3/49
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31
Answer:
Total no of outcomes: 25
(i) cards marked with numbers which are multiples of 3 are 3,9,15,21,27,33,39 and 45
So,P (getting a number divisible by 3)= 8/25
(ii)P( composite number)=10/25
(iii)P (not a perfect square)=1-P (perfe-
ct square)=1-4/25=21/25
(iv)P (multiple of 3 and 5)=2/25
THANKS
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