question_answer

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

\[=\frac{9}{10}\]