Final answer:
The conclusion that odd multiplied by even results in an even number does indeed follow from the premises, since the product of any number with an even number will include a factor of 2, and hence be even.
Step-by-step explanation:
The conclusion that the product of an odd number and an even number is even does follow from the premises given in mathematical operations. To understand why let's take a closer look at the properties of even and odd numbers. An even number is one that can be divided by two without a remainder, such as 2, 4, 6, and so on, while an odd number is one that has a remainder of one when divided by two, such as 1, 3, 5, and so on.
When you multiply an even number by any other number, the product is always even because the even number contains the factor 2, and hence, the product will also be a multiple of 2. Hence, the product of an even and an odd number will still contain this factor of 2, thus being even. For example, if we multiply 3 (odd) by 2 (even), we get 6, which is even.