CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A number x is selected from the numbers 1, 2, 3 and then a second number y is randomly selected from the numbers 1, 4, 9. What is the probability that the product xy of the two numbers will be less than 9 ?

Open in App
Solution


Number x can be selected in three ways and corresponding to each such way there are three ways of selecting number y. Therefore, two numbers can be selected in 9 ways as listed :
(1,1),(1,4),(1,9),(2,1),(2,4),(2,9),(3,1),(3,4),(3,9)
So, total number of elementary events = 9
The product xy will be less than 9, if x, and y are chosen in one of the following ways :
(1,1),(1,4),(2,1),(2,4),(3,1)
Therefore, favourable number of elementary events = 5
Therefore, required probability = 59


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Experimental Probability
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon