A box contains cards numbered from 10 to 122. A card is drawn at random from the box. Find the probability that the number of the card is (i) A perfect square number (ii) A multiple of 7
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Answer :-
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Solution :-
Square numbers from 10 to 122 = 16, 25, 36, 49, 64, 81, 100 and 121
Total square number from 10 to 122 = 8
Total cards numbered from 10 to 122 = 113
i) P(a square number) = 8/113
Multiples of 7 from 10 to 122 = 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119
Total multiples of 7 from 10 to 122 = 16
ii) P(a multiple of 7) = 16/113
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Answer:
¡) 8/113
¡¡) 16/113
Step-by-step explanation:
No. of total outcomes = 122- 9
= 113
As 1,2,3,4,5,6,7,8&9 are not considered.
No. of perfect square between 10 and 122 = 8
Probability = 8/113
No. of 7 multiple = 17
Probability = 17/113
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