Numbers 1 to 10 are written on ten separate slips (one number on one slip) kept in a box and mixed |
well. One slip chosen from the box without looking into it. What is the probability of |
(a) getting a number 6 ? |
(b) getting a number less than 6? |
(c) getting a number greater than 6? |
(d) getting a 1-digit number? |
Answer:
(a) Probability of getting a number \[6\frac{1}{10}\] (b) \[\because \] Numbers less than 6 = 1, 2, 3, 4, 5 \[\therefore \] Favourable outcomes = 5 and Total outcomes = 10 Hence, the probability of getting a number less than 6 \[=\frac{5}{10}\] \[=\frac{1}{2}\] (c) \[\because \] Number greater then 6 = 7, 8, 9, 10 Favourable outcomes = 4 and Total outcomes =10 Hence, the probability of getting a number greater than 6 \[=\frac{4}{10}\] \[=\frac{2}{5}\] (d) \[\because \] 1 digit numbers = 1, 2, 3, 4, 5, 6, 7, 8, 9 \[\therefore \] Favourable outcomes = 9 and Total outcomes = 10 Hence, the probability of getting a 1 digit number \[=\frac{9}{10}\]
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