#### notes

The likelihood of something happening is called the probability.**Terms related to probability:****Experiment :** An activity which produces an outcome or result is called an experiment.

**random Experiment :** An Experiment in which exact outcome cannot be predicted in advance.

For example:

1) rolling a dice

2) Drawing a card from well-shuffled pack of playing cards

3) Tossing a coin**Trial :** Performing an experiment is called a trial.**Event :** Each possible outcomes of an experiment is called event.**Probability of an event :** In a random experiment if 'n' is the total number of trials, then the empirical probability of the event E is P(E).

P(E) =

`"Number of trials happened in which event happened" / " Total number of trials"`

i.e. P(E) =`"Number of trials happened in which event happened" / n `

The Probability of an event lies between 0 and 1 (0 and 1 inclusive).

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#### Related QuestionsVIEW ALL [43]

An organization selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below:-

Monthly income (in Rs.) |
Vehicles per family | |||

0 | 1 | 2 | Above 2 | |

Less than 7000 | 10 | 160 | 25 | 0 |

7000 – 10000 | 0 | 305 | 27 | 2 |

10000 – 13000 | 1 | 535 | 29 | 1 |

13000 – 16000 | 2 | 469 | 59 | 25 |

16000 or more | 1 | 579 | 82 | 88 |

Suppose a family is chosen, find the probability that the family chosen is

(i) earning Rs 10000 − 13000 per month and owning exactly 2 vehicles.

(ii) earning Rs 16000 or more per month and owning exactly 1 vehicle.

(iii) earning less than Rs 7000 per month and does not own any vehicle.

(iv) earning Rs 13000 − 16000 per month and owning more than 2 vehicles.

(v) owning not more than 1 vehicle.

Three coins are tossed simultaneously 100 times with the following frequencies of different outcomes:

Outcome: | No head | One head | Two heads | Three heads |

Frequency: | 14 | 38 | 36 | 12 |

If the three coins are simultaneously tossed again, compute the probability of:

(i) 2 heads coming up.

(ii) 3 heads coming up.

(iii) at least one head coming up.

(iv) getting more heads than tails.

(v) getting more tails than heads.