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The document discusses experimental and empirical probabilities based on actual experiments. It provides an example of tossing a coin 1000 times, with 455 heads and 545 tails, giving an empirical probability of heads as 455/1000 = 0.455 and tails as 545/1000 = 0.545. It states that empirical probabilities are estimates based on results of experiments and can vary between experiments.
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1) Probability is a measure of how likely an event is to occur, ranging from 0% for an impossible event to 100% for a certain event.
2) Chance refers to the likelihood of something happening, expressed as a percentage. A 50% chance means an event is equally likely or unlikely to occur.
3) Probability originated from studying games of chance and is now used in fields like traffic control, genetics, and investment returns to predict outcomes. However, some events like a coin toss cannot be predicted with certainty.
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Loveleen & harsh
- 2. PROBABILITY
- 4. We 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.
- 5. 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’.
- 6. 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 .
- 7. KRITI
- 8. 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.
- 10. By using the probability we can predict whether the weather will clear or it will rain
- 14. It 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.
- 15. 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.
- 16. 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.
- 19. There are 12 court cards in loveleen