Probability of 8th.
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Probability is the mathematics of chance that can be expressed as a fraction, decimal, or percentage. It provides the likelihood that a given event will occur based on the number of possible outcomes of an experiment. The probability of any single event must be between 0 and 1, and the sum of probabilities of all events must equal 1. Common experiments used to demonstrate probability include tossing a coin, rolling a die, and tossing two coins simultaneously, with the outcomes and events defined for each. The theoretical probability of an event is calculated by dividing the number of outcomes for that event by the total number of possible outcomes.
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Probability of 8th.
- 2. Probability is the mathematics of chance. It can be written as a fraction, decimal, percent, or ratio. It tells us a result with which we can expect an event to occur
- 3. – an operation which produces well-defined outcomes is called an experiment . – an experiment when repeated under identical condition, does not produce the same result, is known as a random experiment. – a result of some activity or experiment is known as outcome. – the collection of some or all possible outcomes of an experiment is called an event.
- 4. Value is between 0 and 1. Sum of the probabilities of all events is 1 Probability is the numerical measure of the likelihood that the event will occur. Certai n Impossi ble 50/50 .5 1 0
- 5. S.N Experiment Outcomes Some events 1 Tossing a coin Head(h) Tail (T) •H is the event of getting a head. T is the event of getting a tail. 2 Rolling a dice 1,2,3,4,5,6 Getting an odd no is the event containing 1,3,5. Getting a prime number is the event containing 2,3,5. Getting a number greater than 5 is the event containing 6 and so on. 3. Tossing two coins simultaneously. HH,HT,TH,TT HH is the event of getting head on each coin. HT is the event of getting head on 1st coin and tail on 2nd coin TH is the event of getting tail on 1st coin and Head on 2nd coin. TT is the event of getting tail on each coin. .
- 8. The probability of an event , E. Number of Event Outcomes P(E) = Total Number of Possible Outcomes in S Each of the outcomes in the sample space are random and equally likely to occur . E.g p( ) = 2/36 = 1/18 (There are 2 ways to get one 6 and the other 4)
- 9. There are three types of probability 1. Theoretical Probability Theoretical probability is used when each outcome in a sample space is equally likely to occur. P(E) == Number of Event Outcomes Total Number of Possible Outcomes in S The Ultimate probability formula