number x is selected from the numbers 1,2,3 and then a second number y is randomly selected from the numbers 4,5,9. What is the probability P(xy<9)
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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 =
9
5
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