A number x is selected at random from the numbers 1, 2, 3, and 4. Another number y is
selected at random from the numbers 1, 4,9 and 16. Find the probability that product of x
and y is less than 16.
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Answer:
Number of possible outcomes for x is 1,2,3,4=4
Number of possible outcomes for y is 1,4,9,16=4
Since they are selected at random, hence each has equal in number of possibilities.
Therefore, total outcomes =16 (like a dice question making a box and writing the products as 4×4)
Favourable outcomes =8.
Probability that product of x and y is less than 16= 168=21
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