Two friends were born in the year 2000 what is the probability that they have the same birthday

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Modern's abc+ of Mathematics for Class 10>Probability>FOR ASSESSMENT>Q 26

(c)

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“Note: This question given in the book seems to have errors and the modified question should be as given below.”

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1. Probability of an Event:

In the experimental approach to probability, we find the probability of the occurrence of an event by performing the experiment a number of times and adequate recording of the happening of the event.

2. Basic Terms Related to Probability:

(i) In the theoretical approach to probability, we try to predict what will happen without performing the experiment.

(ii) An outcome of a random experiment is called an elementary event.

(iii) An event associated with a random experiment is a compound event if it is obtained by combining two or more elementary events associated to the random experiment.

(iv) An event A associated with a random experiment is said to occur if any one of the elementary events associated with event A is an outcome.

(v) An elementary event is said to be favorable to a compound event A if it satisfies the definition of the compound event.

3. Calculation of Probability:

If there are n elementary events associated with a random experiment and m of them are favourable to an event A, then the probability of occurrence of event A is denoted by P(A) and is defined as the ratio mn i.e., PA= Favourable number of elementary events  Total number of elementary events 

4. Range of Probability:

For any event A associated with a random experiment, we have

(i) 0≤PA≤1

(ii) PA=1-PA

(iii) The probability of a sure event is 1.

(iv) The probability of an impossible event is 0.

5. The sum of the probabilities of all the outcomes (elementary events) of an experiment is 1.

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If a die is thrown once, the possible outcomes areS = {1, 2, 3, 4,5, 6} i.e.    n(S) = 6Let A be the favourable outcomes of getting add number. ThenA = {1,3,5} i.e.    n(S) = 3

Therefore, P(A) =