learning probability and odds

The probability of an incident is a proportion that tells how possible. It is that an event will take place. The numerator is the number of favorable outcomes and the

Denominator is the number of possible outcomes.

Probability:   number of flattering outcomes / number of possible outcomes

Probability is we can try to measure the chances of it occurrence

Explanation of learning probability and odds


Here learning the probability and odds

Numerical measure of the likelihood of an event to occur. If an inspection there are n possible  ways  exhaustive and mutually exclusive and out of them in m ways in the event. A occurs, then the probability of occurrence of the event. A is given by P (a) = m/n

If  in a random  sequence  of n trials of an event, M are favorable  to the event , the  probability of that event occurring is the limit of the ratio M/n, when  n is very  large , this lies between 0 and 1

P (a) = 0 means that the event can not take place.

P (a) = 1 means the event is bound to occur.

The events, A2, A3……..An are said to the mutually exclusive if ,

P(Ai∩ Aj)=0

for i=1,2,3,……n.

J=1,2,3,…….n, I  j

He events are said to be exhaustive if

P(A1)+ P(A2)+ P(A3)_.......... P(An)=1 if ,

A ∩   B  0 then

P(Aυ B)=P(A)+ P(B)

And if  A∩  B   0v then

P(A υ B)=P(A)+ P(B)-P(A ∩ B)


Learning Example of probability and odds:


Learning the probability and odds problems

1. when you toss a coin, it can fall two ways. The probability of getting a head on one roll of a coin is one chance out of two.

Solution:

P(h) means the   probability of getting a head on one toss of a  coin.

P(t) means the   probability of getting a tail on one toss of a  coin.

Step 1:  the number of favorable outcomes for head =1

Step 2:  the number of favorable outcomes for tail =1

Step 3:  number of possible outcomes    =2

Step 4:  the probability of the event for head = number of favorable outcomes / number of possible outcomes

Step 5:  the probability of the event for head= P (h) =n (e)/n(s)

Step 6:   the probability of the event for head=1/2

Answer:  1/2