10. Activity : Ask all the students in yourclass to write a 3-digit nu

1.	10. Activity : Ask all the students in yourclass to write a 3-digit number. Chooseany student from the room at random.What is the probability that thenumber written by her/him is divisibleby 3? Remember that a number isdivisible by 3, if the sum of its digits isSol.divisible by 3.Q.
Answer» Probability is the study of the chances ofevents happening. Event: A Possible outcome or combination ofoutcomes is called event. The probability of happening our eventalways lies from 0 to 1. The sum of all the probabilities of allpossible outcomes of an experiment is 1. Required probability=number of trials inwhich the event E has happened/Total number of trials --------------------------------------------------------------------------------------------------------------------------------------- Suppose there are 40 students In a class. The probability of selecting any of thestudent= 40/40=1 A three digit number start from 100 to 999. Total number of 3 digit numbers= 999- 99=900 Now, Multiples of 3 in three digitnumbers={102, 105 .....999} Total numbers of multiples of 3 in threedigit numbers= 900/3=300 The probability that the number written byher/ him is divisible by 3= 300/900= 3/9=1/3 P(divisible by 3)= 1/3

10. Activity : Ask all the students in yourclass to write a 3-digit number. Chooseany student from the room at random.What is the probability that thenumber written by her/him is divisibleby 3? Remember that a number isdivisible by 3, if the sum of its digits isSol.divisible by 3.Q.

Answer»

Probability is the study of the chances ofevents happening.

Event:

A Possible outcome or combination ofoutcomes is called event.

The probability of happening our eventalways lies from 0 to 1.

The sum of all the probabilities of allpossible outcomes of an experiment is 1.

Required probability=number of trials inwhich the event E has happened/Total number of trials

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Suppose there are 40 students In a class.

The probability of selecting any of thestudent= 40/40=1

A three digit number start from 100 to 999.

Total number of 3 digit numbers= 999- 99=900

Now, Multiples of 3 in three digitnumbers={102, 105 .....999}

Total numbers of multiples of 3 in threedigit numbers= 900/3=300

The probability that the number written byher/ him is divisible by 3= 300/900= 3/9=1/3

P(divisible by 3)= 1/3