Question

A pair of dice is rolled, and the numbers showing are observed. Find the probability of getting a sum of 7.

Answer 1

To find the probability of getting a sum of 7 when rolling a pair of dice, we need to determine the number of favorable outcomes (when the sum of the two dice is 7) and the total number of possible outcomes.

There are 6 possible outcomes for each die, ranging from 1 to 6. Since we have two dice, the total number of possible outcomes is 6 * 6 = 36.

Now, let's determine the number of favorable outcomes, which is when the sum of the two dice is 7. There are 6 possible combinations that result in a sum of 7: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).

Therefore, the number of favorable outcomes is 6.

To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of favorable outcomes / Total number of possible outcomes
= 6 / 36
= 1 / 6

Hence, the probability of getting a sum of 7 when rolling a pair of dice is 1/6 or approximately 0.1667.

Answer 2

To find the probability of getting a sum of 7 when rolling a pair of dice, we divide the number of favorable outcomes by the total number of possible outcomes. The probability is 1/6.

Step-by-step explanation:

To find the probability of getting a sum of 7 when rolling a pair of dice, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.

1. The favorable outcomes for getting a sum of 7 are:

• (1, 6)
• (2, 5)
• (3, 4)
• (4, 3)
• (5, 2)
• (6, 1)

Since each die has 6 sides, the total number of possible outcomes is 6 * 6 = 36.Therefore, the probability of getting a sum of 7 is 6/36 = 1/6.