In day to day life, we need many things. If things are big so we need a big budget for that.
We need probable cost to purchase a thing.
For the construction of a building, we need money to purchase materials & other miscellaneous items.
So we estimate the probable cost of building to arrange the money we need.
But in mathematics probability is different.
What is Probability?
Probability is the game of chances. When we toss a coin chance of getting a total of two answers head or tail.
If we toss a coin once so the probability of getting head is 1/2 & probability of getting tail is 1/2.
Here 1 shows the number of outcomes for head or tail & 2 shows total outcome the the
Probability is denoted by P(E).
Where P = Probability & E = Event
Formula of Probability
P(E) = (Outcomes favourable to any event E) ÷ (Total outcomes of the experiment)
Example of Probability
First, we throw a dice (Ludo cube) so chances of getting answers are six. It may be 1, 2, 3, 4, 5, 6.
Let we get result 4 on the top face. So the number of outcomes for event 4 is 1 after throwing a dice.
And chances of getting total outcomes is 6 (maybe 1,2,3,4,5,6).
So the probability of event P(4) = (1÷6).
Where,
1 = No. of times 4 is coming
& 6 = Total outcomes of experiment
Problems of Probability
1.) A bag contains a red ball, a blue ball & a yellow ball, all the balls being of the same size. A man takes out a ball from the bag without looking into it. What is the probability that she takes out a blue ball?
Solve:
Total chances of getting the ball from the bag are 3 (maybe red, blue or yellow ball)
(Outcomes favourable to the blue ball is 1)
And we need to find the probability of the blue ball.
On putting the values the in formula-
So the probability of blue ball P(B) = (1÷3)
Or
P(B) = 1/3
2.) We throw a dice once. So what is the probability of getting a number less than four?
Solve:
In the dice total number of outcomes is 6 (maybe be 1,2,3,4,5 or 6)
And the number of outcomes favourable to less than 4 is 3 (maybe 1,2 or 3)
On putting the values in the formula-
Probability of event less than four P(E) = (3÷6)
Or
P(E) = 1/2