Friday 20 January 2012

Probability in Grade VIII

When we talk about the possibility of occurrence of any event, it is called probability and its an important part of cbse syllabus.
Any occurrence of the experiment is called an Event. Events can be dependent events or independent events.
Children if we talk about a independent event, in any experiment if the event occurs independently then it is called independent event. For example, if we throw a dice, the possibility is of  getting any numbers 1, 2, 3, 4, 5 and 6. But we find the possibilities are independent that is it does not depend on anything else, Two events are called to occur independently, if they to not depend on one another. Suppose 2 coins are thrown, we find that on both the coins we have the possibility of getting either a head or a tail. The possible outcomes are ( HH, HT, TH, TT ) but all these 4 outcomes are not dependent on one another, so they are  called Independent events.

Now let's talk about dependent events. When we conduct any experiment such that the observation of 2nd depends upon the observation of first experiment, then the event is called dependent event. You will study this type of math questions in higher grades.
Conditional Probability of any event is the probability condition when we have two events A and B associated with the same random experiment. Then probability of occurrence of  of event A under the condition that event b had already taken place is called conditional event.
In Grade VIII we will learn about basic experiments of probability.To know more about it refer this,
Let us take an experiment of throwing a coin. The possible outcomes for this event will be Head and Tail. Now a question arises that
  •     what is the probability of getting a head in this event?
        We observe that the event has one probability out of two for getting a head, so
        P (Getting head ) = 1/2

  •  what is the probability of getting a tail in this event?
      We observe that the event has one probability out of two for getting a tail, so
      P (Getting tail ) = 1/2
   Similarly if we study the pack of cards, we know that there are 52 cards in a pack. out of which 13 are ♣ ,13 are ♥, 13 are ♠ , 13 are ♦
   So probability of getting a ♣, if one card is drawn = 13/52  = 1/4
        probability of getting a ♥, if one card is drawn = 13/52  = 1/4
       probability of getting a ♠, if one card is drawn = 13/52  = 1/4
       probability of getting a ♦ , if one card is drawn = 13/52  = 1/4
     
      Further we elaborate and see, what is the probability of getting a red card, if a card out of a pack of 52 cards is drawn?
             P ( getting a red card ) = 26/ 52
                                               = 1/2
    what is the probability of getting a black card, if a card out of a pack of 52 cards is drawn?
             P( getting a black card ) = 26/ 52
                                               = 1/2
   In this way we solve various other problems related to it. To get information about Percent and Rates in IX Grade  and Mean in Grade VIII you can refer Internet.

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