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Question

Two whole numbers are randomly selected & multiplied. If the probability that the units place in their product is "Even" is p & the probability that the units place in their product is "Odd" is q, then find the value of 10pq

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Solution

We know that product of two even numbers is even and product of two odd numbers is odd.
Also, the product of even and odd is even and the product of odd and even is also even.
Hence, in three out of four cases, the product will be even.
Probability that unit's place in the product is even p=34
Probability that unit's place in the product is odd q=14
10pq=30

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