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Question
If a number x is chosen from the numbers 1, 2, 3, and a number y is selected from the numbers 1, 4, 9. Then, P(xy < 9)
Options
\[\frac{7}{9}\]
\[\frac{5}{9}\]
\[\frac{2}{3}\]
\[\frac{1}{9}\]
Solution
x is chosen from the numbers 1, 2, 3 and y is chosen from the numbers 1, 4, 9
TO FIND: Probability of getting `P(xy)<9`
We will make multiplication table for x and y such that `(xy)<9`
=`xy=1xx1=1`
=`1xx4=4`
=`1xx9=9`
=`2xx1=2`
=`2xx9=18`
=`3xx1=3`
=`3xx4=12`
=`3xx9=27`
So the numbers such that `(xy)<9` is 5
`"We know that PROBABILITY" = "Number of favourable event"/"Total number of event"`
Hence `P(xy <9)=5/9`
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