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Cards, marked with numbers 5 to 50, are placed in a box and mixed throughly. A card is drawn from teh box at random. Find the probability that the number on the taken out card is: (i) a prime number less than 10. (ii) a number which is a perfect square." "

Teacher

The sample size is 46 (i) The prime numbers less than 10 are 5 and 7. so the probability is 2/46 or 1/23. (ii) The perfect squares are 9,16,25, 36 and 49-five in all so the probability is 5/46

Maths Tutor

total possibilities=46 A) possible outcomes=5,7 hence P=2/46 B) possible outcomes = 9,16,25,36,49 hence P=5/46

way 2 success

(i)1/23 (ii)5/46

way 2 success

0.866

Tutor

Total number of possibilities are 46 1) no of favourable possibilities to get a prime number less than 10 are 2 Probability of getting a prime number less than 10 is 2/46=1/23 2) no of favourable possibilities to get a perfect square are 5 Probability of getting a perfect square is 5/46

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