# 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

Getting a number 6?

Getting a number less than 6?

Getting a number greater than 6?

Getting a 1-digit number?

Answer

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Hint: When we take a slip from the box of slips numbered from 1 to 10, we get any number randomly between 1 to 10.

From the given information numbers written on slips are 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10.

Probability of an Event E = (Number of favorable outcomes) / (Total number of outcomes)

Number 6

Number of favorable outcomes = 1

Probability of getting number 6 = 1/10

Numbers less than 6 are 1, 2, 3, 4 and 5.

Number of favorable outcomes = 5

Probability of getting a number less than 6 = 5/10

The numbers greater than 6 are 7, 8, 9 and 10.

Number of favorable outcomes = 4

Probability of getting number greater than 6 = 4/10 2/5

From 1 to 10 numbers except 10 remaining 9 numbers are single digit numbers.

Number of favorable outcomes = 9

Probability of getting a single digit number = 9/10

Note:

Probability is a measure of how often a particular event will happen if some experiment is done. Probability of an event E = P(E)=n(E)/ n(S). n(E) is the number of favorable outcomes to the event E. n(S) is the total number of outcomes in sample space. For example tossing a coin is an experiment. We get outcomes as Head and tails. So Sample space contains these 2 outcomes. Now if we want the probability of head, this will be our event. Then the number of favorable outcomes of our event is 1.

Probability becomes equal to ½.

From the given information numbers written on slips are 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10.

Probability of an Event E = (Number of favorable outcomes) / (Total number of outcomes)

Number 6

Number of favorable outcomes = 1

Probability of getting number 6 = 1/10

Numbers less than 6 are 1, 2, 3, 4 and 5.

Number of favorable outcomes = 5

Probability of getting a number less than 6 = 5/10

The numbers greater than 6 are 7, 8, 9 and 10.

Number of favorable outcomes = 4

Probability of getting number greater than 6 = 4/10 2/5

From 1 to 10 numbers except 10 remaining 9 numbers are single digit numbers.

Number of favorable outcomes = 9

Probability of getting a single digit number = 9/10

Note:

Probability is a measure of how often a particular event will happen if some experiment is done. Probability of an event E = P(E)=n(E)/ n(S). n(E) is the number of favorable outcomes to the event E. n(S) is the total number of outcomes in sample space. For example tossing a coin is an experiment. We get outcomes as Head and tails. So Sample space contains these 2 outcomes. Now if we want the probability of head, this will be our event. Then the number of favorable outcomes of our event is 1.

Probability becomes equal to ½.

Last updated date: 17th Sep 2023

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