Introduction to elementary probability worksheets
Elementary probability is a branch of mathematics. Probability is a way of expressing knowledge or belief that an event will occur or has occurred. In mathematics the concept has been given an exact meaning in probability theory that is used extensively in such areas of study as mathematics, statistics, finance, gambling, science, and philosophy to draw conclusions about the likelihood of potential events and the underlying mechanics of complex systems. In this article we shall discuss elementary probability worksheets. I like to share this Elementary Statistics Problems with you all through my article.
(Source: wikipedia).
Elementary Probability Worksheets Example Problem
Following are some example worksheets problems
Example 1:
If three coins are tossed, then what is the sample space?
Solution: Sample space S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}.
Example 2:
Four coins are tossed simultaneously, then what is the sample space?
Solution:
Toss four coins at the same time the sample space are:
S = {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT, HTTH, THTH, TTHH,
THHT, HTTT, THTT, TTHT, TTTH, TTTT}
Example 3: Two dice are thrown. What is the sample space?
Solution: The sample space in throwing two dice
S = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6),
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}.
Example 4:
Two die is tossed once. Find the probability of getting the number 3.
Die is tossed once, the sample space is S= {1, 2, 3, 4, 5, 6} and, therefore, n(S)=6..
Let E1 = event of getting the number 3.
E1= {3} and, therefore, n (E1) =1.
Therefore P (getting 3) = P(E1) = n(E1) / n(S) = `1 / 6`
Example 5:
Two die is tossed once. Find the probability of getting the number 4.
Get a number less than 4.
Let E1 = event of get a number less than 4. Then,
E1= {1, 2, 3} and, therefore, n (E3) =3.
Therefore P (get number less than 4) = P (E1) = n(E1) / n(S) = `3 / 6 ` = `1 / 2` . Please express your views of this topic define irrational number by commenting on blog.
Elementary Probability Practice Worksheets Problem
Problem 1:
One coin is tossed. What is the sample space?
Answer:
Sample space= {HT, TH}
Problem 2:
Two coins are tossed simultaneously. What is the sample space?
Answer:
The sample space is S = {HH, HT, TH, TT}
Problem 3:
Two die is tossed once. Find the probability of getting the number 3.
Answer:
`1 /3`
Elementary probability is a branch of mathematics. Probability is a way of expressing knowledge or belief that an event will occur or has occurred. In mathematics the concept has been given an exact meaning in probability theory that is used extensively in such areas of study as mathematics, statistics, finance, gambling, science, and philosophy to draw conclusions about the likelihood of potential events and the underlying mechanics of complex systems. In this article we shall discuss elementary probability worksheets. I like to share this Elementary Statistics Problems with you all through my article.
(Source: wikipedia).
Elementary Probability Worksheets Example Problem
Following are some example worksheets problems
Example 1:
If three coins are tossed, then what is the sample space?
Solution: Sample space S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}.
Example 2:
Four coins are tossed simultaneously, then what is the sample space?
Solution:
Toss four coins at the same time the sample space are:
S = {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT, HTTH, THTH, TTHH,
THHT, HTTT, THTT, TTHT, TTTH, TTTT}
Example 3: Two dice are thrown. What is the sample space?
Solution: The sample space in throwing two dice
S = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6),
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}.
Example 4:
Two die is tossed once. Find the probability of getting the number 3.
Die is tossed once, the sample space is S= {1, 2, 3, 4, 5, 6} and, therefore, n(S)=6..
Let E1 = event of getting the number 3.
E1= {3} and, therefore, n (E1) =1.
Therefore P (getting 3) = P(E1) = n(E1) / n(S) = `1 / 6`
Example 5:
Two die is tossed once. Find the probability of getting the number 4.
Get a number less than 4.
Let E1 = event of get a number less than 4. Then,
E1= {1, 2, 3} and, therefore, n (E3) =3.
Therefore P (get number less than 4) = P (E1) = n(E1) / n(S) = `3 / 6 ` = `1 / 2` . Please express your views of this topic define irrational number by commenting on blog.
Elementary Probability Practice Worksheets Problem
Problem 1:
One coin is tossed. What is the sample space?
Answer:
Sample space= {HT, TH}
Problem 2:
Two coins are tossed simultaneously. What is the sample space?
Answer:
The sample space is S = {HH, HT, TH, TT}
Problem 3:
Two die is tossed once. Find the probability of getting the number 3.
Answer:
`1 /3`
