A box contains four slips numbered 1, 2 ,3 ,4 and another box contains three slips number 1,2,3. If one slip is taken from each ,
a) What is the total number of all possible outcomes?
b) Write all possible pairs.
c) What is the probability of the product of two numbers of each pair been a perfect square?
What is the probability of the product being a prime number?
Answers
Given : A box contains four slips numbered 1, 2 ,3 ,4 and another box contains three slips number 1,2,3. one slip is taken from each
To Find : a) What is the total number of all possible outcomes?
b) Write all possible pairs.
c) What is the probability of the product of two numbers of each pair been a perfect square?
d ) What is the probability of the product being a prime number?
Solution:
A = { 1 , 2 ,3 , 4 }
B = { 1 , 2 , 3 }
3 x 4 = 12 possible outcomes
All Possible pairs
= { (1 , 1) , ( 1, 2) , ( 1, 3) ,
(2 , 1) , ( 2, 2) , ( 2, 3) ,
(3, 1) , ( 3, 2) , ( 3, 3) ,
(4 , 1) , ( 4, 2) , ( 4, 3) }
probability of the product of two numbers of each pair been a perfect square
Product Perfect Square ( 1. 1) , ( 2, 2) , ( 3, 3) ,( 4 , 1)
probability of the product of two numbers of each pair been a perfect square = 4/12 = 1/3
probability of the product being a prime number
( 1, 3) , ( 1, 2) ,( 2 , 1) , ( 3 , 1)
probability of the product being a prime number = 4/12 = 1/3
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