Question

a single dice is rolled. the 36 equally-likely outcomes are shown. find the probability of getting two numbers whose sum is 5

Answer 1

The probability of rolling two numbers on a single die (in two rolls) whose sum is 5 is 1/9, as there are 4 favorable outcomes (1 and 4, 2 and 3, 3 and 2, 4 and 1) and a total of 36 possible outcomes.

Step-by-step explanation:

The question asks for the probability of rolling two numbers on a single six-sided die whose sum is 5. When you roll a six-sided die, the possible outcomes for each roll are 1, 2, 3, 4, 5, or 6. So, we need to find out how many pairs of these numbers add up to 5. The pairs are:

• (1, 4)
• (2, 3)
• (3, 2)
• (4, 1)

There are 4 favorable outcomes that give a sum of 5. Since there are 6 possible outcomes for the first roll and 6 possible outcomes for the second roll, there are a total of 6 * 6 = 36 possible outcomes when rolling a die twice. Therefore, the probability of rolling two numbers whose sum is 5 is the number of favorable outcomes divided by the total number of outcomes, which is 4/36, and this simplifies to 1/9. So, the probability is 1/9.