The word Probable means the likely but not certain to be or become true or real.It is also the chance, or likelihood, that a certain event will occur. The probability is the number of ways an event can occur divided by the total number of possible outcomes.
Here, we are going to discuss the following topics under Probability:
Spin The Big Wheel! (Probability)
Students can get to learn the various conepts under Probability and get help with Probability homework problems too from the tutors available online.
Compound Independent and Dependent Events
If the occurrence of one event does not affect the probability of the occurrence of the second event, then the events are independent.Events are dependent when one even does affect the probability of the occurrence of the second.
Definition: If two events A and B of a sample space S, these events are independent provided
P(A and B) = P (A ? B) = P(A) P(B)
If P(A ? B) ? P(A) P(B), then A and B are called dependent events
A few solved Examples on Compound Independent and Dependent Events were also discussed. The Probability formula is also based on the above formulas.
Permutations and Combinations
Permutation : Each of the different arrangements which can be made by taking some or all of the given things or objects at a time is called a permutation. The symbol nPr denotes the number of permutations of n different thinks taken r at a time. In the symbol, P stands for permutation.
Also, n Pr = n! / (n – r)!
Combination: Each of the different selections or groups which can be made by taking some or all given things or objects at a time is called a combination. The symbol nCr denotes the no. of combinations of n different things taken r at a time. In the symbol, C stands for combination.
Also, n Cr = n! / r! (n – r)!
Under this heading a few solved Examples on Permutations and Combinations were also discussed.
Probability Simulations
A Random experiment is an experiment in which
i) the experiment can be repeated any number of times under identical conditions.
ii) all possible outcomes of the experiment are known in advance, and
iii) the actual outcome in a particular case is not known in advance.
Different types of events are also discussed here.
Spin the Big Wheel! (probability)
Spinner has 4 equal sectors colored yellow, blue, green, red. A few illustrations are shown in this heading.
Students can solve various problems on Probability with a strong understanding of the basic concepts.