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To find the probability of obtaining a 5 on a single toss with two dice, we need to divide the number of successful outcomes by the total number of possible outcomes. There are 36 possible outcomes when rolling two dice since each die has 6 faces, and each face can combine with the 6 faces on the other die (6 × 6 = 36). We will now consider the combinations that result in a sum of 5: - Rolling a 1 on the first die and a 4 on the second die - Rolling a 2 on the first die and a 3 on the second die - Rolling a 3 on the first die and a 2 on the second die - Rolling a 4 on the first die and a 1 on the second die There are 4 successful outcomes. So, the probability of getting a 5 on a single toss with a pair of dice is: \(P(5) = \frac{4}{36}\)

Since both tosses are independent events, we can multiply the probability calculated in Step 1 to find the overall probability of obtaining a 5 on both tosses. \(P(5 \text{ on both tosses}) = P(5) \times P(5) = \frac{4}{36} \times \frac{4}{36}\) \(P(5 \text{ on both tosses}) = \frac{16}{1296}\) So, the probability of obtaining a 5 on both tosses with a pair of dice is \(\frac{16}{1296}\).