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# 4.Numbers 1 to 10 are written on ten separate slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking into it. What is the probability of: (i) getting a number 6? (ii) getting a number less than 6? (iii) getting a number greater than 6? (iv) getting a 1-digit number?

Answer :

(i)An event of getting a number 6, i. e., if we obtain a slip having number 6 as an outcome out of total 10 slips

So favourable number of outcomes = 1

∴ required probability of getting a number 6 = $$\frac{1}{10}$$

(ii) Probability of getting a number less than 6 = $$\frac{5}{10}= \frac{1}2$$ [∵ Numbers less than 6 are 1, 2, 3, 4, 5]

(iii) Probability of getting a number greater than 6 = $$\frac{4}{10}= \frac{2}5$$ [∵ Number greater than 6 are 7, 8, 9, 10]

(iv) Probability of getting a 1-digit number = $$\frac{9}{10}$$ [∵ 1-digit numbers are 9, i.e. 1, 2, 3, 4, 5, 6, 7, 8, 9]