In this page probability worksheet solution1 we are going to see solution of some practice questions of the probability worksheet.
Question 1
A ticket is drawn from bag containing 100 tickets. The tickets are numbered from one to hundred. What is the probability of getting a ticket with a number divisible by 10?
Solution:
The tickets are numbered from one to hundred
Sample space S = {1 , 2 , 3 , 4 , ……………………. 100}
n(s) = 100
Let A be the event of getting a ticket with a number divisible by 10
A = {10,20,30,40,50,60,70,80,90,100}
n(A) = 10
Probability of getting a ticket with a number divisible by 10
P(A) = n(A)/n(S)
= 10/100
= 1/10
Therefore the probability of getting a
ticket with a number divisible by 10 is 1/10
Question 2
A die is thrown twice. Find the probability of getting a total of 9.
Solution:
A dice is thrown twice
Sample space 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)}
n(S) = 36
Let A be the event of getting a total of 9
A = {(3,6), (4,5), (5,4), (6,3)}
n(A) = 4
Probability of getting a total of 9 P(A) = n(A)/n(S)
= 4/36
= 1/9
Therefore the probability of getting a
total of 9 is 1/9
Question 3
Two dice re thrown together. Find the probability that two digits number formed with two numbers turning up is divisible by 3.
Solution:
Two dice are thrown together
Sample space 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)}
n(S) = 36
Let A be the event of getting two digits number formed with two numbers turning up is divisible by 3.
A = {(1,2), (1,5), (2,1), (2,4) , (3,3) , (3,6) , (4,2) , (4,5) , (5,1) , (5,4) , (6,3) , (6,6)}
n(A) = 12
Probability of getting A , P(A) = n(A)/n(S)
= 12/36
= 1/3
Therefore the probability that
two digits number formed with two numbers turning up is divisible by 3 is 1/3
probability worksheet solution1 probability worksheet solution1