Loveleen & harsh
Transcript of Loveleen & harsh
INTRODUCTIONWe have studied about experimental probabilities of events which were based on the result of actual experiments. now we will discussed an experiment of tossing a coin 1000 times in which the frequencies of the outcomes are :-
HEAD : 455.
TAIL : 545.
According to this experiment, the empirical probability of a head is 455/1000 that is 0.455 & that getting of tail is 0.545.
This is called the experimental or empirical probabilities.
It is based on the results of actual experiments and adequate recordings of the happening of the events , & these probability are only ‘estimates’.
EXAMPLES of Experimental probability.
a. If we have tossed a coin 4o4o times & got 2048 heads. The experimental probability of getting a head, in this case , was 2048/4040,i.e 0.507.
b. Next time we tossed 1oooo times head comes 5067 times & the probability of getting head is 5067/10000=0.5067. So, we conclude that different times we get different probability .
PROPERTIES OF PROBABILITY
Probability of an sure of an sure event is1.
Probability of impossible event is O.
Probability never be in negative and never lie b/w the 1to2.
APPLICATION OF PROBABILITY
By using the probability we can predict whether the weather will clear or it will rain
DICEIt is one of the playing
material used in various indoor games.
it is a solid cube having 6 faces on each the no. with dots are placed on each face from 1 to 6.
A dice played in a game only having a probability of the no. to step ahead.
PROBABILITY IN DICE
No. of total outcomes in a dice.
• As the SIX faced are engrained with no. 1to6, hence the total outcomes in a dice is of faces or 6 no.
PROBABILITY IN DICE
No. favorable outcomes in a dice.
• It can be any no. from 1to6 which can leads to probability from 0to6.
Note: Probability of any out come just lie b/w 0to1 and at any other values.