#Probability Review: Mutually Exclusive Events , Independent Events , Dependent Events , Conditional Probability , Subtraction Rule , Addition Rule , Multiplication Rule
Practice Examples : Exercise 1
Q.1 www.limaglobal.com
Quantity A Quantity B
1/36 Probability of rolling
two six sided dice
A. If Quantity A is greater
B. If Quantity B is greater
C. If Quantity A and Quantity B are equal
D. The relationship cannot be determined from given information
Solution;
Probability of rolling dice 1 = P (M) = 1/6
Probability of rolling dice 2 = P (N) = 1/6
So probability of rolling both the dice
P (M and N) = P (M) ยท P (N)
= 1/6 X 1/6
= 1/36
Here Quantity A and Quantity B both are equal.
The correct answer choice is C.
Q.2
Quantity A Quantity B
0.50 After rolling one 12 sided dice
randomly, the probability of getting prime numbers.
A. If Quantity A is greater
B. If Quantity B is greater
C. If Quantity A and Quantity B are equal
D. The relationship cannot be determined from given information
Solution;
Event M for rolling 12 sided dice and getting Prime numbers = 2, 3, 5, 7 and 11.
So the probability P (M) = = 0.42
If we compare Quantity A with Quantity B, the value for Quantity A is greater, hence correct answer choice is A.
#Probability Review: Mutually Exclusive Events , Independent Events , Dependent Events , Conditional Probability , Subtraction Rule , Addition Rule , Multiplication Rule