Probability is an important branch of Mathematics. Let us talk about introduction to Probability. Probability includes the quantitative analysis of large Sets of data.
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If Outcomes number is finite, we call it as finite sample space
Some examples of Finite Sample Spaces are:
· Rolling a Dice
· Tossing a Coin
· Draw a Card
When Outcome is not discrete and Continuous then those types of sample spaces are called as Indefinite Sample space
Examples of Indefinite Sample Spaces:
· Human Height
· Length of a Chord
· Flight Arrival Time
Now understand probability sample space with the help of examples:
Example1: What will be the sample space when we will toss a Coin?
Solution: When we will toss a coin there are two probable outcomes head (H) and tail(T)
So sample space (S) = (Head, Tail)
Example 2: What will be the sample space when we will toss a Coin?
Solution: When we will toss two coins there are two probable outcomes For Coin 1: head (H1) and tail(T1)
Coin2: head (H2) and tail(T2)
Sample Space(S) = (H1, H2),(H1, T2), (T1, H2)(T1,T2)
So suppose sample set for n numbers of coins will be 2n
Example3:There are 6 Numbers on a Dice which are 1, 2 , 3 , 4 , 5 , 6 .What will be the Sample space for a single throw ?
Solution: Sample space (1 , 2 ,3 ,4 , 5 ,6)
Example4: What will be the Sample Space to pull a sock from a drawer containing 15 red socks, 10 green socks, and 6 yellow socks?
Solution” S=Red, Green , yellow
Example5: What is the probability of getting an even number when rolling a die?
P = P(2) + P(4) + P(6)
Example 6: What will be the Sample Space to pick a ball from a drawer containing 15 yellow balls, 10 white balls, and 16 red balls?
Solution” S= Yellow, white, red