Final answer:
The probability that the product of two 5-sided dice is greater than or equal to 3 is 21/25. The correct answer is o 21/25.
Step-by-step explanation:
To find the probability that the product of two 5-sided dice is greater than or equal to 3, we need to determine the number of favorable outcomes and the total number of possible outcomes.
Let's consider the possible outcomes for each die:
- Die 1: {1, 2, 3, 4, 5}
- Die 2: {1, 2, 3, 4, 5}
The total number of possible outcomes is the product of the number of outcomes for each die: 5 x 5 = 25.
Now, let's determine the favorable outcomes, which are the outcomes where the product is greater than or equal to 3.
These are the favorable outcomes:
- Product = 3: (1, 3), (3, 1)
- Product = 4: (1, 4), (4, 1), (2, 2), (4, 1)
- Product = 5: (1, 5), (5, 1), (2, 2), (2, 3), (3, 2), (5, 1)
- Product = 6: (2, 3), (3, 2), (6, 1), (1, 6)
- Product = 8: (4, 2), (2, 4), (4, 2), (2, 4)
- Product = 10: (5, 2), (2, 5)
- Product = 12: (6, 2), (2, 6)
- Product = 15: (5, 3), (3, 5)
- Product = 20: (5, 4), (4, 5)
- Product = 25: (5, 5)
There are 21 favorable outcomes. Therefore, the probability that the product is greater than or equal to 3 is 21/25.