The probability that the sum of the two numbers is odd, given that the product is 6 will be 2/3. Option C is correct.
What is probability?
Probability is synonymous with possibility. It is concerned with the occurrence of a random event. Probability can only have a value between 0 and 1.
Ethan cranks the arrow on the spinner after rolling the number cube. There is a list of all conceivable outcomes.
{(1, 1), (1, 2), (1,3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (4,1),(4,2), (4,3), (5, 1), (5,2), (5,3), (6, 1), (6,2), (6,3)}
The no of sets having the sum of the number is odd=9
The no of sets having the product of the number is 6=3
The total number including the two conditions=3+9=12
Probability is found as;
P=12/18
P=2/3
The probability that the sum of the two numbers is odd, given that the product is 6 will be 2/3.
Hence, option C is correct.
To learn more about probability, refer to the link;
https://brainly.com/question/795909
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