Questions: A single die is rolled twice. The 36 equally-likely outcomes are shown to the right. Find the probability of getting two numbers whose sum is 2.

A single die is rolled twice. The 36 equally-likely outcomes are shown to the right. Find the probability of getting two numbers whose sum is 2.
Transcript text: A single die is rolled twice. The 36 equally-likely outcomes are shown to the right. Find the probability of getting two numbers whose sum is 2.
failed

Solution

failed
failed

Solution Steps

Step 1: Enumerate all possible outcomes

There are a total of 36 equally likely outcomes when a die with 6 sides is rolled twice.

Step 2: Identify favorable outcomes

The number of outcomes where the sum equals 2 is 1.

Step 3: Calculate probability

The probability is calculated as the ratio of the number of favorable outcomes to the total number of outcomes: $P = \frac{1}{36} = 0.03$.

Final Answer:

The probability of rolling two dice and getting a sum of 2 is approximately 0.03.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
A 0.200 kg stone whirled in a horizontal circle on the end of a 0.800-m-long string. The string makes an angle of 15.0° with the horizontal. Determine the speed v of the stone. v= m / s
failedAnswered
Convert 0.0033 m^3 into cm^3
failedAnswered
∫ from 0 to π / 2 e^(sin(x)) cos(x) dx =
failedAnswered
Find the solution(s) to the following equation: 3x-9 = 9x + 5 Choose the correct answer below and fill in the values. Round to three decimal places if needed. x₁= or x₂= x₁= There is no solution.
failedAnswered
Tamarisk Corporation had net sales of 2,407,700 and interest revenue of 40,700 during 2025. Expenses for 2025 were cost of goods sold 1,462,900, administrative expenses 220,600, selling expenses 299,400, and interest expense 54,000. Tamarisk's tax rate is 30%. The corporation had 105,200 shares of common stock authorized and 57,610 shares issued and outstanding during 2025. Prepare a single-step income statement for the year ended December 31, 2025. (Round earnings per share to 2 decimal places, es 1.48.)