Question

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A number 'x' is selected from the numbers 1, 2, 3 and then a second '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?

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Answer 1

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★ Concept :

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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.

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Solution :

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

So, total number of elementary events = 9The 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 = 5/9

Answer 2

Answer:

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