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What is the probability that when rolling two dice, the product of the numbers is at least 2?
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Answer to a math question What is the probability that when rolling two dice, the product of the numbers is at least 2?
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To find the probability that the product of the numbers on two dice is at least 2, we can first consider the total number of possible outcomes when rolling two dice. Each die has 6 faces, so there are a total of 6 \times 6 = 36
Next, we find the number of outcomes where the product is at least 2. The only time the product is less than 2 is when both dice show a 1. So, the number of outcomes where the product is at least 2 is36 - 1 = 35
Therefore, the probability that the product of the numbers on two dice is at least 2 is given by:
P(\text{product} \geq 2) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{35}{36}
\boxed{P(\text{product} \geq 2) = \frac{35}{36}}
Next, we find the number of outcomes where the product is at least 2. The only time the product is less than 2 is when both dice show a 1. So, the number of outcomes where the product is at least 2 is
Therefore, the probability that the product of the numbers on two dice is at least 2 is given by:
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